Skip to content

If △ PQR ~ △ ABC; PQ = 6 cm, AB… (Class 10 Maths 2023, Q8)

questionbuddy.in/q/cbse-10-maths-2023-30-6-1-q8-perimeter-perimeter

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/6/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 8

Set in the CBSE Class 10 board exam of 2023, paper 30/6/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQTriangles

If ; PQ = 6 cm, AB = 8 cm and the perimeter of is 36 cm, then the perimeter of is

  1. (A)20.25 cm
  2. (B)27 cm
  3. (C)48 cm
  4. (D)64 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/6/1.

Hints

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

Hint 1

In similar triangles, how are the perimeters related to the corresponding sides?

Hint 2

Set up a proportion using PQ and AB.

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 cm. Option (B).

    1 mark

Answer: 27 cm, option (B)

Where the marks are

  • Uses ratio of perimeters = ratio of corresponding sides and gets 27 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 paper2023 board paper, set 30/6/1 (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.