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.
$$
|PA| = 3, \quad |PB| = 7 \quad \text{and} \quad |PD| = 5.
$$
Find the area of the square.
Math Olympiad Vault · MathNet 2026 — Part 05