Question

(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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Answer 1

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.