In the adjoining figure angle pqr = angle prs if pr =8 cm , ps = 4cm then pq is equal to
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Given : angle pqr = angle prs pr =8 cm , ps = 4cm
To Find : pq
Solution:
in Δ PQR & ΔPRS
∠PQR = ∠PRS
∠P = ∠P common
=> Δ PQR ≈ ΔPRS Using AA criteria
=> PQ/PR = QR/RS = PR/PS
PQ/PR = PR/PS
=> PQ . PS = PR²
PQ = ?
PS = 4 cm
PR = 8 cm
=> PQ * 4 = 8²
=> PQ = 16 cm
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hope it helps
refer to the figure in the question
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