MathDB
Find the maximum of the fraction l^2/S(T)

Source:

September 14, 2010
geometryrectanglegeometry proposed

Problem Statement

Let ll denote the length of the smallest diagonal of all rectangles inscribed in a triangle TT . (By inscribed, we mean that all four vertices of the rectangle lie on the boundary of TT .) Determine the maximum value of l2S(T)\frac{l^2}{S(T)} taken over all triangles (S(T)S(T ) denotes the area of triangle TT ).
Back to ProblemsView on AoPS