olymmath

BALTIC-WAY 1992 Problem 20

    Let a≤b≤ca \leq b \leq c be the sides of a right triangle, and let 2p2 p be its perimeter. Show that

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

    where SS is the area of the triangle.

    Dataset text NuminaMath olympiads. Quoted with source.

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