Show that the angle bisectors of angles A, B, C of triangle ABC are the altitudes of triangle DEF.

by Jdinh98   Last Updated May 15, 2018 20:20 PM

Triangle ABC is inscribed in a circle $C(O, r )$. The angle bisectors of A, B, and C intersect the circle in D, E, and F respectively. Show that the angle bisectors of angles A, B, C of $triangle ABC$ are the altitudes of triangle $DEF$.

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Tags : geometry


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