# Inspired by Nihar Mahajan

**Geometry**Level 5

Also let \(\color{grey}{P,~Q~\& ~R}\) be the points on side \(\color{indigo}{AB,~BC~ \& ~ CA} \) respectively such that perimeter of \(\color{green}{\Delta PQR}\) is minimum.

Find the inradius of \(\color{green}{\Delta PQR}\).

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