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If △ ABC ~ △ DEF… (Class 10 Maths SQP 2025-26, Q14)

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

CBSE Class 10 Mathematics Standard sample paper 2025-26: question 14

From the official CBSE sample question paper for 2025-26, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQTriangles

If , AB=6cm, DE=9cm, EF=6cm and FD=12cm, then the perimeter of is

  1. (A)28cm
  2. (B)28.5cm
  3. (C)18cm
  4. (D)23cm

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 perimeter of triangle DEF first.

Hint 2

The perimeters of similar triangles are in the same ratio as their corresponding sides.

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. Perimeter of DEF cm. So the perimeter of ABC cm, which is option (C).

    1 mark

Answer: 18 cm, option (C)

Where the marks are

  • Uses ratio of perimeters = ratio of sides and gets 18 cm, option (C) (1 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 paperSample paper 2025-26 (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.