A circle cuts off four right-angled triangles from rectangle $ABCD$.Let $A_0, B_0, C_0$ and $D_0$ be the midpoints of the correspondent hypotenuses. Prove that $A_0C_0 = B_0D_0$ Proosed by L.Shteingarts
Source: Sharygin Geometry Olympiad Correspondence Round 2017 P-2(Grade-8)
Tags: geometry
A circle cuts off four right-angled triangles from rectangle $ABCD$.Let $A_0, B_0, C_0$ and $D_0$ be the midpoints of the correspondent hypotenuses. Prove that $A_0C_0 = B_0D_0$ Proosed by L.Shteingarts