Question 23 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at August 12, 2026 by Teachoo

In ∆ABC, ˂B = 90° and BD ꓕ AC. If AC = 9cm and AD = 3 cm then BD is equal to

(a) 2√2cm (b) 3√2 cm (c) 2√3 cm (d) 3 √3 cm

Ques 23 (MCQ) - In ∆ABC, ˂B=90˚ and BD ꓕ AC. If AC = 9cm and AD = 3 cm - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 23 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 23 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 23 In ∆ABC, ˂B = 90° and BD ꓕ AC. If AC = 9cm and AD = 3 cm then BD is equal to (a) 2√2cm (b) 3√2 cm (c) 2√3 cm (d) 3 √3 cm Let ∠ A = x° In Δ ABC ∠ ACB = 90° − x And, in Δ ABD ∠ ABD = 90° − x For Δ ABD and Δ BCD ∠ ABD = ∠ BCD ∠ BAC = ∠ DAB ∴ Δ ABD ~ Δ BCD Since sides in similar triangle are proportional 𝑨𝑫/𝑩𝑫=𝑩𝑫/𝑪𝑫 3/𝐵𝐷=𝐵𝐷/6 3 × 6 = BD2 18 = BD2 BD2 = 18 BD2 = 9 × 2 BD2 = 32 × 2 BD = 3 × √2 BD = 3 √𝟐 cm So, the correct answer is (b)

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