MathDB
Two Congruent Triangles

Source: 2019 AIME II #1

March 22, 2019
AMCAIMEAIME IIgeometrycongruent triangles2019 AIME II2019 AMC

Problem Statement

Points C≠DC\neq D lie on the same side of line ABAB so that △ABC\triangle ABC and △BAD\triangle BAD are congruent with AB=9AB = 9, BC=AD=10BC=AD=10, and CA=DB=17CA=DB=17. The intersection of these two triangular regions has area mn\tfrac mn, where mm and nn are relatively prime positive integers. Find m+nm+n.
Back to ProblemsView on AoPS