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Regional Olympiad - FBH 2009 Grade 10 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018
geometryincircleright angle

Problem Statement

In triangle ABCABC such that ∠ACB=90∘\angle ACB=90^{\circ}, let point HH be foot of perpendicular from point CC to side ABAB. Show that sum of radiuses of incircles of ABCABC, BCHBCH and ACHACH is CHCH
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