VTMO 2026 - Grade 8 - Semifinal - SET 04 - Self-study Question 17

Right triangle $ABC$ has its right angle at $A$, with $AB=7$ cm and $AC=14$ cm. A square $MNPQ$ is inscribed with $M\in AB$, $N\in AC$, and $P,Q\in BC$, as shown. Find its area in cm².