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< PCQ in a unit square ABCD when AP+AQ+PQ = 2

Source: Singapore Open Math Olympiad 1996 2nd Round p2 SMO

April 2, 2020
geometryanglesquare

Problem Statement

In the following figure, ABCDABCD is a square of unit length and P,QP, Q are points on ADAD and ABAB respectively. Find ∠PCQ\angle PCQ if ∣AP∣+∣AQ∣+∣PQ∣=2|AP| + |AQ| + |PQ| = 2. https://cdn.artofproblemsolving.com/attachments/2/c/2f40db978c1d3fcbc0161f874b5cbec926058e.png
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