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The perimeters of two… (Class 10 Maths SQP 2026-27, Q6)

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MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 6

From the official CBSE sample question paper for 2026-27, section A, question 6, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q6 · 1 mark · MCQTriangles

The perimeters of two similar triangles are 56 cm and 70 cm respectively. If one side of the first triangle is 14 cm, then the corresponding side of the second triangle (in cm) is:

  1. (A)5
  2. (B)7.5
  3. (C)10
  4. (D)17.5

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

How do the perimeters of similar triangles compare with their sides?

Hint 2

Set up 56 : 70 = 14 : x.

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. For similar triangles, the ratio of perimeters equals the ratio of corresponding sides.

  2. cm. This is option (D).

    1 mark

Answer: 17.5 cm, option (D)

Where the marks are

  • Uses ratio of perimeters = ratio of corresponding sides to get 17.5 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 2026-27 (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.