Solution:-
From the figure,
∠P = ∠P (common angle for both triangles)
∠PQR = ∠PRS [from the question]
So, ∆PQR ~ ∆PRS
Then, PQ/PR = PR/PS = QR/SR
Consider PQ/PR = PR/PS
PQ/8 = 8/4
PQ = (8 × 8)/4
PQ = 64/4
PQ = 16 cm
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.
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.