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By pythogorus theorem, Hypotenuse 2 = Base 2 +Height 2 = 15 2 +8 2 = 225 + 64 = 289, So Hypotenuse = 17; Now inradius of a right angle triangle = (Base + Height - Hypotenuse)/2 = (8 + 15 - 17)/2 = 6/2 = 3cm