Reflect the vertices of a triangle on the opposite sides
Source: Kürschák 1985, problem 3
July 27, 2014
geometrygeometric transformationreflectioncircumcirclehomothetyinequalitiesgeometry unsolved
Problem Statement
We reflected each vertex of a triangle on the opposite side. Prove that the area of the triangle formed by these three reflection points is smaller than the area of the initial triangle multiplied by five.