MathsCBSE Class 10 · Standard · Board exam 2026, set 30/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 13

Set in the CBSE Class 10 board exam of 2026, paper 30/3/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q13 · 1 mark · MCQTriangles

It is given that $Δ$ ABC $\sim Δ$ QRP such that AB = 9 cm, BC = 5 cm and PR = 2 cm. Length of side QR is :

(A)0.9 cm
(B) $\frac{5}{18}$ cm
(C) $\frac{10}{9}$ cm
(D)3.6 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/3/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Match the vertices in the order they are written in the similarity statement.

Hint 2

AB corresponds to QR and BC corresponds to RP.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

From $△ A B C \sim △ QR P$ : $A \leftrightarrow Q$ , $B \leftrightarrow R$ , $C \leftrightarrow P$ . So $\frac{A B}{QR} = \frac{B C}{R P}$ .
$\frac{9}{QR} = \frac{5}{2} \Rightarrow QR = \frac{18}{5} = 3.6$ cm, which is option (D).
1 mark

Answer: 3.6 cm; option (D)

Where the marks are

Chooses option (D) 3.6 cm (1 mark)

Revise the chapter

Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Topic: Problems on Similar Triangles

Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/3/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.

CBSE Class 10 Mathematics Standard 2026: question 13

Hints

Step-by-step solution

Revise the chapter

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