# Squares in Triangles

Geometry Level 4

Let a triangle $$ABC$$ with $$BC = 6 \text{ cm}$$, and the area of $$30\text{ cm}^2$$. A square $$PQRS$$ is inscribed so that points $$S$$ and $$R$$ is on $$BC$$, $$Q$$ on $$AC$$, and $$P$$ on $$AB$$ respectively. Find the side length of the square $$PQRS$$.

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