CBSE Class 10 Maths (Basic) 2025 · Paper 430/5/1 · Question 33(b)

Triangles 5 marks Medium

It is given that sides

A B

and

A C

and median

A D

△ A B C

are respectively proportional to sides

P Q

and

P R

and median

P M

of another

△ P QR

. Show that

△ A B C \sim △ P QR

Answer

△ A B C \sim △ P QR

by SAS similarity, since

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

and

∠ B A C = ∠ QP R

(obtained from

△ A E C \sim △ P N R

by SSS). Hence proved.

🔒 Step-by-step solution

Class 10 Maths — every question with an expert-verified, step-by-step solution.