CBSE Class 10 Maths (Basic) 2024 · Paper 430/4/1 · Question 23(a)

Triangles 2 marks Hard

In the given figure, PQ || RS. Prove that

O P \times O R = O Q \times O S

Segments crossing at O with PQ parallel to RS

Answer

Since

△ O P Q \sim △ O S R

(AA),

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

, so

O P \times O R = O Q \times O S

. Hence proved.

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