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Geometry: Center of incircle

max

New member
Mar 2, 2013
4
Let sharp triangle ABC inscribed circle $(O;R)$ and $H$ is orthocenter of triangle ABC. circle $(E;r)$ tangent to $HB$, $HC$ and tangent to in circle $(O;R)$.
Prove that: midpoint of $HE$ is center of the circle inscribed the triangle $HBC$
 

Sudharaka

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
Let sharp triangle ABC inscribed circle $(O;R)$ and $H$ is orthocenter of triangle ABC. circle $(E;r)$ tangent to $HB$, $HC$ and tangent to in circle $(O;R)$.
Prove that: midpoint of $HE$ is center of the circle inscribed the triangle $HBC$
Hi max, :)

I am not understanding your question correctly. What is a "sharp triangle"? And what is circle $(E;r)$ ?