Check sibling questions

In △ABC,DE∥AB. If AB=a,DE=x,BE=b and EC=c.

Then x expressed in terms of a, b and c is:

(a) ac/b                     (b) ac/(b+c)             

 (c) ab/c                    (d) ab/(b+c)

This question is similar to Question 11 CBSE Class 10 Sample Paper for 2022 Boards- Maths Basic

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Since DE βˆ₯ AB ∠ ABC = ∠ DEC Also, ∠ ACB = ∠ DE Thus, by AA Similarity Ξ” ABC ~ Ξ” DECSince sides are proportional in similar triangles 𝐴𝐡/𝐷𝐸 = 𝐡𝐢/𝐢𝐸 𝒂/𝒙=(𝒃 + 𝒄)/𝒄 π‘Žπ‘/(𝑏 + 𝑐)=π‘₯ 𝒙=𝒂𝒄/(𝒃 + 𝒄) So, the correct answer is (b)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.