MathDB
Isosceles triangle bisectors

Source:

August 9, 2012
geometryangle bisectorperpendicular bisectorgeometry proposed

Problem Statement

Let ABC ABC be an isosceles triangle with AC=BC AC=BC . Take points D D on side ACAC and EE on side BCBC and F F the intersection of bisectors of angles DEB DEB and ADEADE such that F F lies on side ABAB. Prove that FF is the midpoint of ABAB.
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