MathDB
quadrilaterals with equal areas, related to tangents from a point to circle

Source: 2011 Sharygin Geometry Olympiad Correspondence Round P15

April 4, 2019
geometrycircleTangentsequal areaquadrilateralarea

Problem Statement

Given a circle with center OO and radius equal to 11. ABAB and ACAC are the tangents to this circle from point AA. Point MM on the circle is such that the areas of quadrilaterals OBMCOBMC and ABMCABMC are equal. Find MAMA.
Back to ProblemsView on AoPS