MathDB

Given vertex

A

and

A

-excircle

\omega_A

. Construct all possible triangles such that circumcenter of

\triangle ABC

coincide with centroid of the triangle formed by tangent points of

\omega_A

and triangle sides.
Proposed by Seyed Reza Hosseini Dolatabadi, Pooya Esmaeil Akhondy Rated 4

Problem Statement