CBSE Class 10 Maths (Basic) 2024 · Paper 430/4/1 · Question 34(a)

Triangles 5 marks Very hard

If BD and QM are medians of triangles ABC and PQR, respectively, where

△ A B C \sim △ P QR

, prove that

\frac{A B}{P Q} = \frac{B D}{QM}

Answer

△ A B D \sim △ P QM

by SAS, since

\frac{A B}{P Q} = \frac{A D}{P M}

and

∠ A = ∠ P

; therefore

\frac{A B}{P Q} = \frac{B D}{QM}

. Hence proved.

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