CBSE Class 10 Maths (Basic) 2024 · Paper 430/5/1 · Question 34(a)

Triangles 5 marks Medium

Sides AB, BC and median AD of

△ A B C

are respectively proportional to sides PQ, QR and median PM of

△ P QR

. Show that

△ A B C \sim △ P QR

Answer

△ A B D \sim △ P QM

(SSS) gives

∠ B = ∠ Q

; with

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

△ A B C \sim △ P QR

(SAS). Hence proved.

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