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MSFPnav16h=MSFPpreload("_derived/equations.htm_cmp_expeditn010_vbtn_a.gif"); } // --></script><a href="equations.htm" language="JavaScript" onmouseover="if(MSFPhover) document['MSFPnav16'].src=MSFPnav16h.src" onmouseout="if(MSFPhover) document['MSFPnav16'].src=MSFPnav16n.src"><img src="_derived/equations.htm_cmp_expeditn010_vbtn.gif" width="140" height="50" border="0" alt="Equations" name="MSFPnav16"></a><br><img src="_derived/triangles.htm_cmp_expeditn010_vbtn_p.gif" width="140" height="50" border="0" alt="Droites du triangle"><br><script language="JavaScript"><!-- if(MSFPhover) { MSFPnav17n=MSFPpreload("_derived/trigonometrie4.htm_cmp_expeditn010_vbtn.gif"); MSFPnav17h=MSFPpreload("_derived/trigonometrie4.htm_cmp_expeditn010_vbtn_a.gif"); } // --></script><a href="trigonometrie4.htm" language="JavaScript" onmouseover="if(MSFPhover) document['MSFPnav17'].src=MSFPnav17h.src" onmouseout="if(MSFPhover) document['MSFPnav17'].src=MSFPnav17n.src"><img src="_derived/trigonometrie4.htm_cmp_expeditn010_vbtn.gif" width="140" height="50" border="0" alt="Trigonomtrie" name="MSFPnav17"></a> <p align="center"><IMG SRC="../petitexomath.gif" BORDER=0 ALIGN="middle" width="100" height="100" ></p>  <!--mstheme--></font></td><td valign="top" width="24"></td><!--msnavigation--><td valign="top"><!--mstheme--><font face="Book Antiqua, Times New Roman, Times"><p align="center" style="margin-top: 0; margin-bottom: 0"><a href="#exercice"><img border="0" src="../images/ancrage3.gif" width="170" height="60"></a></p> <p align="center" style="margin-top: 0; margin-bottom: 0"><font size="2" face="Comic Sans MS" color="#003399"><b>Le programme ne marche pas avec Netscape 4.5 !!</b></font></p> <p><font size="2" face="Comic Sans MS" color="#003399">Dans cette page vous pourrez visualiser les hauteurs, mdianes, mdiatrices et bissectrices du triangle.&nbsp;</font></p> <p><font size="2" face="Comic Sans MS" color="#003399">Il vous suffit de cliquer sur le bouton de votre choix en bas de la fentre pour les voir apparatre avec leur dfinition. Vous pouvez aussi 'attraper' un sommet du triangle pour le<a href="#exercice"><img border="0" src="../images/ancragefleche1.gif" align="right" width="20" height="40"></a> dformer  volont.</font></p> <p><font size="2" face="Comic Sans MS"><font color="#FF0000"><b>Note importante sur les hauteurs</b></font> :<font color="#003399"> pour tracer les hauteurs d'un triangle, on doit parfois prolonger les cts du triangle pour pouvoir y placer l'querre. De ce fait l'orthocentre n'est pas toujours dans le triangle (tout comme le centre du <a href="#Cercle circonscrit"> cercle circonscrit</a>). Par contre, vous constaterez en dformant le triangle que le centre de gravit, le centre du <a href="#Cercle inscrit"> cercle inscrit</a> sont toujours  l'intrieur du triangle.</font></font></p> <p style="margin-top: 0; margin-bottom: 0"><font size="2" face="Comic Sans MS" color="#003399">Vous verrez ainsi ce qu'il se passe si votre triangle est isocle ou quilatral : essayez de faire en sorte que les mdianes, mdiatrices, hauteurs et bissectrices soient superposes et vous dcouvrirez alors l'une des proprits suivantes.<a href="#exercice"><img border="0" src="../images/ancragefleche1.gif" align="left" width="20" height="40"><img border="0" src="../images/ancragefleche1.gif" align="right" width="20" height="40"></a></font></p> <p style="margin-top: 0; margin-bottom: 0" align="center"><font size="2" face="Comic Sans MS"><a href="#exercice"><img border="0" src="../images/ancragefleche1.gif" align="middle" width="20" height="40"></a></font></p> <p style="margin-top: 0; margin-bottom: 0"><b><font size="2" color="#FF0066" face="Comic Sans MS">Quelques proprits pour montrer qu'un triangle est isocle.</font></b></p> <p style="margin-top: 0; margin-bottom: 0"><font size="2" color="#FF0000" face="Comic Sans MS">Si dans un triangle ABC la hauteur et la mdiane issue de A sont confondues alors ABC est isocle en A.</font></p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Si dans un triangle ABC la hauteur et la bissectrice issue de A sont confondues alors ABC est isocle en A.</font></p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Si dans un triangle ABC&nbsp; la mdiatrice de [BC] et la hauteur issue de A sont confondues alors ABC est isocle en A.</font></p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Si dans un triangle ABC la mdiatrice de [BC] et la mdiane issue de A sont confondues alors ABC est isocle en A.</font></p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Si dans un triangle ABC la mdiatrice de [BC] et la bissectrice issue de A sont confondues alors ABC est isocle en A.</font></p> <p style="margin: 0" align="justify"><font size="2" face="Comic Sans MS" color="#FF0000">Si dans un triangle ABC la mdiane et la bissectrice issue de A sont confondues alors ABC est<a href="#exercice"><img border="0" src="../images/ancragefleche1.gif" align="right" width="20" height="40"></a> isocle en A.</font></p> <p style="margin: 0" align="justify">&nbsp;</p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Rciproque : Dans un triangle ABC isocle en A, la hauteur, la mdiane, la bissectrice issues de A et la mdiatrice de [BC] sont confondues.</font></p> <p style="margin: 0" align="justify">&nbsp;</p> <p style="margin: 0" align="justify"><font size="2" face="Comic Sans MS" color="#003399">Cas du triangle quilatral :</font></p> <p style="margin: 0" align="justify"><font size="2" color="#FF0000" face="Comic Sans MS">Dans un triangle quilatral, les hauteur, mdianes, mdiatrices, bissectrices sont confondues.</font></p>  <p style="margin: 0" align="justify">&nbsp;</p>  <p style="margin: 0" align="justify"><font color="#B0CC98"> <marquee style="color: #98CCFF; font-family: Comic Sans MS; font-size: 14 pt" align="middle" behavior="alternate" bgcolor="#9800FF" width="100%" height="20">L'exercice d'exomath</marquee> </font></p>  <p style="margin-top: 0; margin-bottom: 0"> <a name="exercice"> <applet width="600" height="410" code="DR.class" codebase="../_private/" align="absmiddle" style="border: 12 outset #9800FF">   Vosu devez activer Java pour profiter de ce programme !!! Sans risque. </applet> </a> </p>  <p>&nbsp;</p> <p><font size="2" color="#FF0000"><b><a name="Cercle inscrit">Cercle inscrit </a> : </b>On dit qu'un cercle est inscrit dans un triangle si ce cercle est tangent  chacun des cts du triangle. On obtient le centre de ce cercle en traant 2 bissectrices.</font></p> <p><font size="2" color="#FF0000"><b><a name="Cercle circonscrit">Cercle circonscrit&nbsp;</a> :</b> On dit qu'un cercle est circonscrit  un triangle si ce cercle passe par tous les sommets du triangle. 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