Question

# Construct a quadrilateral $$PQRS$$ in which $$PQ=4.4cm, QR=4.0cm,RS=6.4cm,SP=2.8cm$$ and $$QS=6.6cm$$. Measure the diagonal $$PR$$.

Solution

## $$\Rightarrow$$  Draw line segment $$PQ=4.4\,cm$$$$\Rightarrow$$  Take $$Q$$ as center with radius $$6.6\,cm$$ and draw an arc.$$\Rightarrow$$  Take $$P$$ as center with radius $$2.8\,cm$$ and draw an arc, which meets previous arc at point $$S$$.$$\Rightarrow$$  Take $$Q$$ as center with radius $$4\,cm$$ and draw an arc.$$\Rightarrow$$  Take $$S$$ as center with radius $$6.4\,cm$$ and draw an arc, which meets previous arc at point $$R$$.$$\Rightarrow$$  Join $$QR,PR,SR,SP$$ and $$QS$$.$$\Rightarrow$$   Measure the length of diagonal $$PR.$$$$\Rightarrow$$  We get $$PR=5.9\,cm$$Mathematics

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