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Radii of incircles in right angled triangle.......easy geometry

Source: Albania Round 2, Grade XI 2014 P3

November 14, 2018
geometry

Problem Statement

In a right ΔABC\Delta ABC (∠C=90∘\angle C = 90^{\circ} ), CDCD is the height. Let r1r_1 and r2r_2 be the radii of inscribed circles of ΔACD\Delta ACD and ΔDCB\Delta DCB. Find the radius of inscribed circle of ΔABC\Delta ABC
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