Mathematics
In the figure (3) given below, ∠ PQR = ∠ PRS. Prove that triangles PQR and PRS are similar. If PR = 8 cm, PS = 4 cm, calculate PQ.

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Answer
Given, ∠ PQR = ∠ PRS.
∠ P = ∠ P (common for both the triangles).
By AA rule of similarity, △PQR ~ △PRS.
Then,
Hence, the length of PQ = 16 cm.
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