MathDB
inequality with a segment that splits a triangle area in half and inradius

Source: Tuymaada 1998 p3

April 28, 2019
geometric inequalityinequalitiesinradiusarea of a triangleareageometry

Problem Statement

The segment of length \ell with the ends on the border of a triangle divides the area of that triangle in half. Prove that >r2\ell >r\sqrt2, where rr is the radius of the inscribed circle of the triangle.