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Question 17 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

In the figure, if DE∥ BC, AD = 3cm, BD = 4 cm and BC = 14 cm, then DE equals

(a) 7 cm    (b) 6 cm     (c) 4 cm      (d) 3 cm

 

This question is inspired from Question 2 - NCERT Exemplar - MCQ - Chapter 6 Class 10 Triangles

Transcript

Question 17 In the figure, if DE∥ BC, AD = 3cm, BD = 4 cm and BC = 14 cm, then DE equals (a) 7 cm (b) 6 cm (c) 4 cm (d) 3 cm Since DE ∥ BC ∠ ADB = ∠ ABD ∠ AED = ∠ ACB Thus, by AA Similarity Δ ADE ~ Δ ABC Since sides are proportional in similar triangles 𝐴𝐷/𝐴𝐵=𝐷𝐸/𝐵𝐶 𝟑/(𝟑 + 𝟒)=𝑫𝑬/𝟏𝟒 3/7=𝐷𝐸/14 3/7 × 14 = DE 3 × 2 = DE 6 = DE DE = 6 cm So, the correct answer is (B)
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo