CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

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Question 10 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at July 13, 2026 by

ABCD is a trapezium with AD ∥ BC and AD = 4 cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB = 1/2, then BC =

(a) 6 cm   (b) 7 cm  (c) 8 cm  (d) 9 cm

 

[MCQ] ABCD is a trapezium with AD ∥ BC and AD = 4cm. If diagonals AC - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

part 2 - Question 10 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

ABCD is a trapezium with AD ∥ BC and AD = 4 cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB = 1/2, then BC = (a) 6 cm (b) 7 cm (c) 8 cm (d) 9 cm In Δ AOD and Δ BOC ∠ AOD = ∠ BOC 𝐴𝑂/𝑂𝐶=𝐷𝑂/𝑂𝐵 ∴ Δ AOD ~ Δ BOC Since both triangles are similar Their sides will be in proportion 𝑨𝑶/𝑶𝑪=𝑫𝑶/𝑶𝑩=𝑨𝑫/𝑩𝑪 1/2=𝐴𝐷/𝐵𝐶 Putting AD = 4 cm 1/2=4/𝐵𝐶 BC = 2 × 4 BC = 8 cm So, the correct answer is (c)

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