MathDB
2017 Geometry #2: Maximum Possible Area

Source:

February 19, 2017
geometryperimeter

Problem Statement

Let ABCABC be a triangle with AB=13AB=13, BC=14BC=14, and CA=15CA=15. Let ℓ\ell be a line passing through two sides of triangle ABCABC. Line ℓ\ell cuts triangle ABCABC into two figures, a triangle and a quadrilateral, that have equal perimeter. What is the maximum possible area of the triangle?
Back to ProblemsView on AoPS