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D is a point on the side BC of… (Class 10 Maths 2026, Q22)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 22

Set in the CBSE Class 10 board exam of 2026, paper 30/4/1, section B, question 22, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22 · 2 marks · Very short answerTriangles

D is a point on the side BC of such that . Show that .

Figure in the paper: Triangle ABC with D on side BC; AD is joined; angle CAB (at A) and angle CDA (at D) are marked equal. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/4/1.

Hints

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

Hint 1

Look for two triangles that both contain angle C and one of the equal marked angles.

Hint 2

Show , then match the sides opposite equal angles carefully.

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. In and : (given) and (common angle). So [AA similarity].

    1 mark

  2. Corresponding sides are proportional: .

    ½ mark

  3. Cross-multiplying, , i.e. . Hence shown.

    ½ mark

Answer: (AA), so .

Where the marks are

  • Proves by AA with reasons (1 mark)
  • Writes the correct ratio (½ mark)
  • Concludes (½ 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 paper2026 board paper, set 30/4/1 (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.