2013 ToT Fall Senior O p2 3 similar triangles on sides of a triangle
Source:
March 22, 2020
geometrysimilar trianglesparallelogram
Problem Statement
On the sides of triangle , three similar triangles are constructed with triangle and triangle in the exterior and triangle in the interior. (Above, the vertices of the triangles are ordered so that the similarities take vertices to corresponding vertices, for example, the similarity between triangle and triangle takes to to and to ). Prove that is a parallelogram