MHB Is the Midpoint of HE the Center of the Inscribed Circle in Triangle HBC?

[max2]

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]

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 $(E;r)$ ?