tag:blogger.com,1999:blog-7884377173955164662024-03-14T01:11:10.614-07:00POLIGONOS. Conceptos y teoremas.Informatica COBACH 10:)http://www.blogger.com/profile/04534602965761986488noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-788437717395516466.post-26839393255083782002011-05-05T15:31:00.000-07:002011-05-05T15:31:01.923-07:00<div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">POLÍGONO.-</span></strong> Es una porción de plano limitada por una curva cerrada llamada “línea poligonal”.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinPNM_45BNTYiXdsABjifCcAKZqRd5-uhrpMC9ESwR-0vfVG-ELXOx6ipzQ1m_8zD2LrpB02NOCUq1vbpxce6osEpvs_Sn5IhqAzj_9-Ay-xRP3gJ-05ebBWIUc7BOGUsYrSCRM1qUKfc5/s1600/1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinPNM_45BNTYiXdsABjifCcAKZqRd5-uhrpMC9ESwR-0vfVG-ELXOx6ipzQ1m_8zD2LrpB02NOCUq1vbpxce6osEpvs_Sn5IhqAzj_9-Ay-xRP3gJ-05ebBWIUc7BOGUsYrSCRM1qUKfc5/s1600/1.jpg" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">POLÍGONO CONVEXO.-</span></strong> Aquellos que tienen su línea poligonal respecto a una curva exterior.</span></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: #45818e;"><strong>POLIGONO CÓNCAVO.-</strong></span> Esta formado por una línea cóncava que tiende a una curvatura hacia adentro.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYGhZmRz1Wq8fFjYNnP0REBL3MvdQb9bcFb1tB4tyRj2lo5ics64EOtheh0Q_rLppq-3mdI3XbvDMCyRhn9CPDNYJxwtv3PxHDfztj5-srBqQPdb5YduI7cpDG7Ep0SOdHyiE3WpTL_pUr/s1600/2.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" height="122" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYGhZmRz1Wq8fFjYNnP0REBL3MvdQb9bcFb1tB4tyRj2lo5ics64EOtheh0Q_rLppq-3mdI3XbvDMCyRhn9CPDNYJxwtv3PxHDfztj5-srBqQPdb5YduI7cpDG7Ep0SOdHyiE3WpTL_pUr/s320/2.gif" width="320" /></span></a></div><div align="justify" class="separator" style="clear: both; text-align: center;"><br />
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</div><div align="justify" class="separator" style="clear: both; text-align: center;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.youtube.com/embed/q-IrxjD3brU?feature=player_embedded' frameborder='0'></iframe></span></div><div align="justify" class="separator" style="clear: both; text-align: center;"><span style="background-color: purple; color: #d9d2e9; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif; font-size: xx-small;"><strong>Video relativo a la clasificación de polígonos.</strong></span></div><div align="justify"><br />
</div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: #45818e;"><strong>POLÍGONO REGULAR.-</strong></span> Es el que tiene todos sus lados y todos sus ángulos iguales, es equilátero y es equiángulo.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj_7BeDf9CxORNmPdWcAuHhRZx00DUND7hFm7BsijSs9QEyuwhIuJHqi_DCoZWMtHJywAx6nPVCJXYMRF3t-vEu1rPauwtgnHQXL0JfGD15QEk6RAATd28XtScTTRC3PBh57Kg-5b5TLFV/s1600/3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" height="320" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhj_7BeDf9CxORNmPdWcAuHhRZx00DUND7hFm7BsijSs9QEyuwhIuJHqi_DCoZWMtHJywAx6nPVCJXYMRF3t-vEu1rPauwtgnHQXL0JfGD15QEk6RAATd28XtScTTRC3PBh57Kg-5b5TLFV/s320/3.jpg" width="187" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">DIAGONAL.-</span></strong> Segmento determinado por dos vértices no consecutivos.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgF3O5F37r441qop820BNWtshIgv6N6_waM0Lc2CfbNJEV3U1SWNSncnA__21MvXs_I19AMS3qxzOmIkoS4zoeYHsRUrLWIWjmfiNsC_3e6i2Kc8EaKE4huaCRBw2hDbsqXZfx6TVn0BZTf/s1600/4.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgF3O5F37r441qop820BNWtshIgv6N6_waM0Lc2CfbNJEV3U1SWNSncnA__21MvXs_I19AMS3qxzOmIkoS4zoeYHsRUrLWIWjmfiNsC_3e6i2Kc8EaKE4huaCRBw2hDbsqXZfx6TVn0BZTf/s1600/4.gif" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">CENTRO.-</span></strong> Se refiere al punto central de las circunferencias circunscrita e inscrita en polígonos regulares.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQ-2E9c_biC3NRYGqJP1GpHEh0F2Nnb5Erg6wj7WBDgm5rCRWc-V1GTPFrbUQoR0TDMeUItz1DtNhdN5cg3YfLPfaFNG286MyqjPbTeTOSEhtqIHD6BT7ok0J8Kpjxi9g9R3GMTNRiX6Iw/s1600/5.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiQ-2E9c_biC3NRYGqJP1GpHEh0F2Nnb5Erg6wj7WBDgm5rCRWc-V1GTPFrbUQoR0TDMeUItz1DtNhdN5cg3YfLPfaFNG286MyqjPbTeTOSEhtqIHD6BT7ok0J8Kpjxi9g9R3GMTNRiX6Iw/s1600/5.gif" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">RADIO.-</span></strong> Segmento que une el centro del polígono con un vértice, es también el radio de la circunferencia circunscrita.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVObD5JnStTJyL3IDNBaxSET279Uu0zrhLXwbmS_3jCKX7BlMG6uUOATrdT0u1g3PRQT8TIakN25k3sVfhjSxK4jW79NmukHsZEmjBQ77UCcka3VtP_JeP1kygoWtIFE6Rj82X7HQkH977/s1600/6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVObD5JnStTJyL3IDNBaxSET279Uu0zrhLXwbmS_3jCKX7BlMG6uUOATrdT0u1g3PRQT8TIakN25k3sVfhjSxK4jW79NmukHsZEmjBQ77UCcka3VtP_JeP1kygoWtIFE6Rj82X7HQkH977/s1600/6.jpg" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong><span style="color: #45818e;">APOTEMA.-</span></strong> Segmento que une el centro del polígono perpendicularmente con cualquier lado, es también el radio de la circunferencia inscrita.</span></div><div align="justify"><br />
</div><div align="justify" class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih0Y8g_pQ9fmUZidMzJMgBLiEJEREjHJQnqhzKnl109leIa3NdNAriOi5EmTcaHgdlj2DXTk7_WU1tvKRRbMLQjFnAkov9hnCv8m0VCH0NY_yBZYSNHWWSx-QofcioRCCED6eMeSRoFoAj/s1600/7.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><img border="0" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih0Y8g_pQ9fmUZidMzJMgBLiEJEREjHJQnqhzKnl109leIa3NdNAriOi5EmTcaHgdlj2DXTk7_WU1tvKRRbMLQjFnAkov9hnCv8m0VCH0NY_yBZYSNHWWSx-QofcioRCCED6eMeSRoFoAj/s1600/7.png" /></span></a></div><div align="justify"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: #45818e;"><strong>ÁNGULO CENTRAL.-</strong></span> Es el ángulo formado por los radios correspondientes (dos vértices consecutivos).</span></div><div align="justify"><br />
</div><blockquote><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9LR2ijWgD64nCL5fYhHtg5TV0RmiAbONtxS3ADRsxwfyTC-MdrXDpgynfEtYIN5J0BsVQEmEVZDmsCBMWnfi7WSK7StM1O_7XyG8Hx5jyjLWbqr6i-nn4RezMM9_SSgDVlBuOOXH0fJZq/s1600/8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"></span></a><br />
<div align="center" class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: justify;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9LR2ijWgD64nCL5fYhHtg5TV0RmiAbONtxS3ADRsxwfyTC-MdrXDpgynfEtYIN5J0BsVQEmEVZDmsCBMWnfi7WSK7StM1O_7XyG8Hx5jyjLWbqr6i-nn4RezMM9_SSgDVlBuOOXH0fJZq/s1600/8.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="277" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9LR2ijWgD64nCL5fYhHtg5TV0RmiAbONtxS3ADRsxwfyTC-MdrXDpgynfEtYIN5J0BsVQEmEVZDmsCBMWnfi7WSK7StM1O_7XyG8Hx5jyjLWbqr6i-nn4RezMM9_SSgDVlBuOOXH0fJZq/s320/8.png" width="320" /></a></div><div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="line-height: 115%;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"></span></span></span></b></div></blockquote><br />
<blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="MsoNormal" style="margin: 0cm 0cm 10pt; text-align: center;"><b style="mso-bidi-font-weight: normal;"><span style="line-height: 115%;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="background-color: #3d85c6;"><span style="color: #b6d7a8;">“FÓRMULAS SOBRE TEOREMAS DE POLÍGONOS”.</span></span></span></span></b></div><div align="justify" class="MsoListParagraph" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 10pt 36pt; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: #ff3399; font-family: "MS Mincho"; line-height: 115%; mso-bidi-font-family: "MS Mincho";"><span style="mso-list: Ignore;">✿<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"><span style="color: orange;"> </span></span></span></span><span style="line-height: 115%;"><em><strong><span style="color: #ea9999;">Teorema No. 1.</span></strong></em> La suma de los ángulos interiores de un polígono es igual a 180° (n-2), donde “n” es el lado, o mejor, el número de lados del polígono.</span></span></span></div></blockquote><br />
<blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div align="justify" class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 10pt 18pt; text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdmeQLDiq2cPBdTJfwmEd2zrep2eXTK3fQcTMwzSxIQFLLi1x9gXpDqunRVSUh6sykED5jRh_Juuy-_pSbRsnlsDcCZhGCtn9vgI0DcKjfzxkK1BVb0kKnZvfbj8Eve73Ue18Q1kX-Zgta/s1600/img021.jpg" imageanchor="1" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="200" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdmeQLDiq2cPBdTJfwmEd2zrep2eXTK3fQcTMwzSxIQFLLi1x9gXpDqunRVSUh6sykED5jRh_Juuy-_pSbRsnlsDcCZhGCtn9vgI0DcKjfzxkK1BVb0kKnZvfbj8Eve73Ue18Q1kX-Zgta/s200/img021.jpg" width="191" /></a></div><span style="line-height: 115%;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong>EJEMPLO:</strong></span></span></span></div><div align="justify" class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 10pt 18pt; text-align: justify;"><span style="line-height: 115%;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: purple;">•</span> Calcular la suma de los ángulos interiores de un pentágono regular.</span></span></span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong>Suma de ángulos interiores = 180(n-2)</strong></span></span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;">Suma de ángulos interiores = 180(5-2)</span></span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;">Suma de ángulos interiores = 180(3)</span></span></div><div class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;">Suma de ángulos interiores = <b style="mso-bidi-font-weight: normal;"><span style="background-color: #cccccc; font-size: large;">540°.</span></b></span></span></div><div class="separator" style="clear: both; text-align: center;"></div><div align="justify" class="MsoNormal" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; margin: 0cm 0cm 10pt;"><br />
</div></blockquote><div align="justify" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="MsoListParagraph" style="margin: 0cm 0cm 10pt 36pt; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: #ff3399; font-family: "MS Mincho"; mso-bidi-font-family: "MS Mincho";"><span style="mso-list: Ignore;">✿<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><strong><span style="color: #ea9999;"><em>Teorema No. 2.</em></span></strong> Si se quiere calcular el ángulo interior de algún polígono, éste debe ser regular, el valor de cada uno de sus ángulos es el mismo y es igual a la división de la suma de los ángulos interiores entre “n”.</span></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong>Ángulo interior = <u>180(n-2)</u></strong></span></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong><span style="mso-spacerun: yes;"> </span>n</strong></span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt;"><br />
</div><div class="separator" style="clear: both; line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: center;"></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: justify;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong>EJEMPLO:</strong></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: justify;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: purple;">•</span> Calcular el ángulo interior de un pentadecágono (15 lados) regular. </span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;">Ángulo interior = <u>180(n-2) </u>= <u>180(15-2)</u> = <u>180(13)</u> = <u>2340</u> = <b style="mso-bidi-font-weight: normal;"><span style="background-color: #cccccc; font-size: large;">156°</span></b></span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="mso-spacerun: yes;"> </span>n <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>15<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>15 <span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>15</span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 17.85pt; text-align: justify;"><br />
</div><div class="MsoListParagraph" style="line-height: normal; margin: 0cm 0cm 0pt 36pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: #ff3399; font-family: "MS Mincho"; mso-bidi-font-family: "MS Mincho";"><span style="mso-list: Ignore;">✿<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><strong><em><span style="color: #ea9999;">Teorema No. 3.</span></em></strong> La suma de los ángulos exteriores de un polígono es de 360°.</span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><br />
</div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong>Ángulo exterior = <u>360°</u></strong></span></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong><span style="mso-spacerun: yes;"> </span>n</strong></span></span></div></blockquote><br />
<blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="separator" style="clear: both; line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong>EJEMPLO:</strong></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="mso-spacerun: yes;"> </span><span style="color: purple;">•</span> Calcular el ángulo exterior de un triángulo.</span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;">Ángulo exterior = <u>360°</u> = <u>360°</u> = <b style="mso-bidi-font-weight: normal;"><span style="background-color: #cccccc; font-size: large;">120°</span></b></span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><b style="mso-bidi-font-weight: normal;"><span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span></b>n 3</span></span></div></blockquote><br />
<blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-8x-D7-PV1QLTTJYMldFQq1pdyY2uCpVM6uVNPa4vygf-rcQJqBVLagPgMNfp3FBOvxrRy_Z4-MJ53kDiTje3UIwCKRzHpuTFFYJhzJjqaQDzU3p3-SypEjX5MoiVrMxRaZZ-2nTtuQRH/s1600/img020.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="188" j8="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-8x-D7-PV1QLTTJYMldFQq1pdyY2uCpVM6uVNPa4vygf-rcQJqBVLagPgMNfp3FBOvxrRy_Z4-MJ53kDiTje3UIwCKRzHpuTFFYJhzJjqaQDzU3p3-SypEjX5MoiVrMxRaZZ-2nTtuQRH/s200/img020.jpg" width="200" /></a></div><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt;"><br />
</div><div class="MsoListParagraph" style="line-height: normal; margin: 0cm 0cm 0pt 36pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18pt;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: #ff3399; font-family: "MS Mincho"; mso-bidi-font-family: "MS Mincho";"><span style="mso-list: Ignore;">✿<span style="font-family: "Times New Roman"; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span></span><strong><em><span style="color: #ea9999;">Teorema No. 4.</span></em></strong> El número de diagonales que pueden trazarse desde los vértices de un polígono es igual al producto de n(n-3) y todo ello dividido entre 2.</span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt;"><br />
</div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong># de / = <u>n(n-3)</u></strong></span></span></div><div align="center" class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><strong><span style="mso-spacerun: yes;"> </span>2</strong></span></span></div></blockquote><br />
<blockquote style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><div class="separator" style="clear: both; line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: center;"></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><span style="color: black; font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><strong>EJEMPLO: </strong></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><span style="mso-bidi-font-family: Arial;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="color: purple;">•</span> Calcular el número de diagonales de un pentágono regular.</span></span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: justify;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"># de / = <u>n(n-3)</u> = <u>5(5-3)</u> = <u>5(2)</u>= <u>10</u> = <b style="mso-bidi-font-weight: normal;"><span style="background-color: #cccccc; font-size: large;">5 diagonales.</span></b></span></span></div><div class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt 18pt; text-align: left;"><span style="font-family: "Helvetica Neue", Arial, Helvetica, sans-serif;"><span style="color: black;"><span style="mso-spacerun: yes;"> </span>2<span style="mso-spacerun: yes;"> </span>2<span style="mso-spacerun: yes;"> </span>2<span style="mso-spacerun: yes;"> </span>2</span></span></div></blockquote><br />
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</div><div align="justify" style="text-align: justify;"></div>Informatica COBACH 10:)http://www.blogger.com/profile/04534602965761986488noreply@blogger.com11