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If △ABC ~ △PQR… (Class 10 Maths Basic SQP 2025-26, Q10)

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MathsCBSE Class 10 · Basic · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2025-26: question 10

From the official CBSE sample question paper for 2025-26, section A, question 10, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q10 · 1 mark · MCQTriangles

If ABC PQR, then perimeter of the triangle PQR (in cm) is

  1. (A)12
  2. (B)24
  3. (C)18
  4. (D)20

Figure in the paper: Two right-angled triangles. Triangle ABC: right angle at B, AB = 3 cm (vertical), BC = 4 cm (horizontal), hypotenuse AC = 5 cm. Triangle PQR: right angle at Q, PQ vertical, QR horizontal, hypotenuse PR = 10 cm. See it in the official paper.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

Find the ratio of corresponding sides using the hypotenuses.

Hint 2

Every side of PQR is twice the matching side of ABC.

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 : . So cm and cm.

  2. Perimeter cm, option (B).

    1 mark

Answer: 24 cm, option (B)

Where the marks are

  • Uses the ratio of sides to get the sides and perimeter 24 cm (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2025-26 (Basic): 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.