Triangle Points - The Special Points of a Triangle, say ABC...

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Unformatted text preview: The Special Points of a Triangle, say ABC The Centroid of ABC = the point of concurrence of the three medians. (See Theorem 4.2.7 and Corollary 4.2.8) A MC MB <-------------------- Centroid B MA C The Circumcenter of A MC MB ABC = the point of concurrence of the perpendicular bisectors of the three sides of the triangle. (See Theorem 4.6.1) <-------------------- Circumcenter B MA C <-------------------- Circumcircle The Orthocenter of A FC ABC = the point of concurrence of the three lines containing the three altitudes of the triangle. (See Theorem 4.6.4) FB <-------------------- Orthocenter B FA C The Special Points of a Triangle, say The Incenter of ABC ABC = the point of concurrence of the angle bisectors of the three interior angles of the triangle. (See Theorem 4.6.3) A <-------------------- Incenter <-------------------- Incircle B C An Excenter of ABC = the point of concurrence of the angle bisector of the interior angle at one of the vertices of the triangle and the angle bisectors A of the exterior angles at the other two vertices of the triangle. (See Theorem 4.6.5) B C <-------------------- An Excenter ...
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Triangle Points - The Special Points of a Triangle, say ABC...

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