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The figure below shows an isosceles triangle ABC (AB = BC) with the altitude BH and a cevian BD. O1 and O2 are the incircles of triangles ABD and BDC. If E and F are the tangency points, prove that EH = DF.
See also: Kaleidoscope of Problem 1149 base on Poincare Disk Model. Isolines of problem 1149.
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