CBSE Class 10 Maths (Standard) 2025 · Paper 30/5/1 · Question 24

Triangles 2 marks Medium

A D

and

P S

are medians of triangles

A B C

and

P QR

respectively such that

△ A B D \sim △ P QS

. Prove that

△ A B C \sim △ P QR

Answer

△ A B C \sim △ P QR

by the SAS similarity criterion, because

\frac{A B}{P Q} = \frac{B D}{QS} = \frac{B C}{QR}

and the included angles

∠ B

and

∠ Q

are equal.

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