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MathNet 2026 — Part 05 Question 4

Math Olympiad Vault · MathNet 2026 — Part 05

Question 4

A square $ABCD$ contains a point $P$ such that
$$
|PA| = 3, \quad |PB| = 7 \quad \text{and} \quad |PD| = 5.
$$
Find the area of the square.