computational with a rhombus inscribed in convex quadrilateral
Source: 2008 (-09) Swedish Mathematical Competition p1
September 1, 2020
geometryrhombusconvecinscribed
Problem Statement
A rhombus is inscribed in a convex quadrilateral. The sides of the rhombus are parallel with the diagonals of the quadrilateral, which have the lengths and . Calculate the length of side of the rhombus , expressed in terms of and .