20

Part of 1992 Baltic Way

Problems(1)

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

Source: Baltic Way 1992 #20

a\le b\le c

be the sides of a right triangle, and let

2p

be its perimeter. Show that p(p \minus{} c) \equal{} (p \minus{} a)(p \minus{} b) \equal{} S, where

S

is the area of the triangle.

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