Skip to content

If △ ABC ~ △ PQR in which AB =… (Class 10 Maths 2025, Q24a)

questionbuddy.in/q/cbse-10-maths-2025-30-1-1-q24a-length

MathsCBSE Class 10 · Standard · Board exam 2025, set 30/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2025: question 24(a)

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q24(a) · 2 marks · Very short answerTriangles

If in which cm, cm, cm and cm, then find the length of .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

In similar triangles, corresponding sides are in the same ratio.

Hint 2

Use the known pair to find PQ and QR.

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.

  1. Since , corresponding sides are proportional:

    ½ mark

  2. cm

    ½ mark

  3. cm

    ½ mark

  4. cm

    ½ mark

Answer: PQ + QR = 7.5 cm

Where the marks are

  • Writes the ratio of corresponding sides (½ mark)
  • PQ = 4.5 cm (½ mark)
  • QR = 3 cm (½ mark)
  • PQ + QR = 7.5 cm (½ mark)

Revise the chapter

  • Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paper2025 board paper, set 30/1/1 (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.