(c) In the figure (3) given below, angle PQR = angle PRS. Prove that triangles PQR and PRS
are similar. If PR = 8 cm, PS = 4 cm, calculate PQ.
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Step-by-step explanation:
In triangle PQR, and PRS,
angle PQR = angle PRS (given)
and angle P = angle P (common)
triangle PQR ~ triangle PRS (AA rule)
=> PQ/PR = QR/RS = PR/PS
Now, since PQ/PR = PR/PS
=> PQ/8 = 8/4
=> 4PQ = 64
=> PQ = 16 cm.
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