CBSE Class 10 Maths (Standard) 2025 · Paper 30/4/1 · Question 33(a)

Triangles 5 marks Hard

The corresponding sides of

△ A B C

and

△ P QR

are in the ratio

3 : 5

A D ⊥ B C

and

P S ⊥ QR

as shown in the following figures:

Answer

(i)

△ A D C \sim △ P S R

by AA similarity (

∠ A D C = ∠ P S R = 9 0^{\circ}

and

∠ C = ∠ R

); (ii)

P S = \frac{20}{3}

cm; (iii)

ar (△ A B C) : ar (△ P QR) = 9 : 25

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