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If △ ABC ~ △ QPR, then… (Class 10 Maths Basic 2024, Q18)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 18

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section A, question 18, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q18 · 1 mark · MCQTriangles

In the given figure, if , then the value of is :

  1. (A)5·3 cm
  2. (B)4·6 cm
  3. (C)2·3 cm
  4. (D)4 cm

Figure in the paper: Two triangles. Triangle ABC has AC = 6 cm, BC = 4·6 cm, and AB as the base. Triangle QPR has QR = 3 cm and side PR labelled x. Vertices: R at the top, Q at the bottom left, P at the bottom right. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/4/1.

Hints

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

Hint 1

Match the vertices in the order the similarity is written.

Hint 2

AC corresponds to QR, and BC corresponds to PR.

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. From , the correspondence is A↔Q, B↔P, C↔R. So .

  2. , so cm. This is option (C).

    1 mark

Answer: 2·3 cm, option (C)

Where the marks are

  • Uses the ratio of corresponding sides to get x = 2.3 cm (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 paper2024 board paper, set 430/4/1 (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.