MathDB
p(p - c) = (p - a)(p - b) = S

Source: Baltic Way 1992 #20

February 18, 2009
geometryincentergeometry proposed

Problem Statement

Let a≤b≤c a\le b\le c be the sides of a right triangle, and let 2p 2p be its perimeter. Show that p(p \minus{} c) \equal{} (p \minus{} a)(p \minus{} b) \equal{} S, where S S is the area of the triangle.
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