CBSE Class 10 Maths (Basic) 2024 · Paper 430/1/1 · Question 32(b)

Triangles 5 marks Hard

Sides

A B

and

B C

and median

A D

of a

△ A B C

are respectively proportional to sides

P Q

and

QR

and median

P M

△ P QR

. Show that

△ A B C \sim △ P QR

Triangle ABC with median AD and triangle PQR with median PM

Answer

△ A B D \sim △ P QM

by SSS, so

∠ B = ∠ Q

; with

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

, SAS similarity gives

△ A B C \sim △ P QR

. Hence proved.

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