MathDB
Triangles

Source: Central American Olympiad 2002, problem 2

December 30, 2009
geometry

Problem Statement

Let ABC ABC be an acute triangle, and let D D and E E be the feet of the altitudes drawn from vertexes A A and B B, respectively. Show that if, Area[BDE]≤Area[DEA]≤Area[EAB]≤Area[ABD] Area[BDE]\le Area[DEA]\le Area[EAB]\le Area[ABD] then, the triangle is isosceles.
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