In the figure given above, Δ ABC ~ Δ XYZ, then find the values of x and y.

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 22(B)

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section B, question 22(B), for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22(B) · 2 marks · Very short answerTriangles

In the figure given above, $Δ$ ABC $\sim$ $Δ$ XYZ, then find the values of $x$ and $y$ .

Figure in the paper: Two similar triangles. Triangle ABC: A at top, B bottom-left, C bottom-right; AB = 4 cm, BC = 6 cm, side AC labelled y. Triangle XYZ: X at top, Y bottom-left, Z bottom-right; XZ = 6 cm, YZ = 7.2 cm, side XY labelled x. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/1/1.

Hints

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

Hint 1

Match the vertices in order: A↔X, B↔Y, C↔Z.

Hint 2

Use the known pair BC/YZ to find the scale ratio.

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.

Since $Δ A B C \sim Δ X Y Z$ : $\frac{A B}{X Y} = \frac{B C}{Y Z} = \frac{A C}{X Z}$ , so $\frac{4}{x} = \frac{6}{7.2} = \frac{y}{6}$ .
1 mark
$x = \frac{4 \times 7.2}{6} = 4.8$ cm.
½ mark
$y = \frac{6 \times 6}{7.2} = 5$ cm.
½ mark

Answer: $x = 4.8$ cm, $y = 5$ cm

Where the marks are

Writes the ratios of corresponding sides with values (1 mark)
Gets x = 4.8 cm (½ mark)
Gets y = 5 cm (½ mark)

Revise the chapter

Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Topic: Problems on Similar Triangles

Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/1/1 (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.

CBSE Class 10 Mathematics Standard 2026: question 22(B)

Hints

Step-by-step solution

Revise the chapter

More questions from Triangles