MathDB
easy geometry

Source: Ireland 1996

July 1, 2009
geometrygeometry unsolved

Problem Statement

Let F F be the midpoint of the side BC BC of a triangle ABC ABC. Isosceles right-angled triangles ABD ABD and ACE ACE are constructed externally on AB AB and AC AC with the right angles at D D and E E. Prove that the triangle DEF DEF is right-angled and isosceles.
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