CBSE Class 10 Maths (Basic) 2025 · Paper 430(B) · Question 23(b)

Triangles 2 marks Medium

S

is a point on the side

QR

of a

△ P QR

such that

∠ P S R = ∠ QP R

. Prove that

P R^{2} = QR \times S R

Answer

Since

△ R S P \sim △ R P Q

(AA:

∠ R S P = ∠ R P Q

given,

∠ R

common),

\frac{R S}{R P} = \frac{R P}{R Q}

, so

P R^{2} = QR \times S R

. Hence proved.

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