find angle such that a triangle has the largest area, inside a right triangle
Source: Czech-Polish-Slovak Junior Match 2015, Individual p1 CPSJ
March 14, 2020
geometrymaxarea of a triangleangleright triangle
Problem Statement
In the right triangle with shorter side the hypotenuse has length . Denote its centroid and the feet of altitude from the vertex . Determine the size of its inner angle at the vertex for which the triangle has the greatest possible area.