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computational in a square, a^2 = b^2 + c^2, right angle wanted

Source: 2003 Cono Sur Shortlist G3

July 26, 2019
squaregeometryright angle

Problem Statement

An interior PP point to a square ABCDABCD is such that PA=a,PB=bPA = a, PB = b and PC=b+cPC = b + c, where the numbers a,ba, b and cc satisfy the relationship a2=b2+c2a^2 = b^2 + c^2. Prove that the angle BPCBPC is right.
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