In the given figure, DE II BC. Which of the following is true?
(a) x=(a + b)/ay (b) y=ax/(a + b)
(c) x=ay/(a + b) (d) x/y=a/b
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Last updated at Sept. 7, 2021 by Teachoo
Transcript
Question 11 In the given figure, DE II BC. Which of the following is true? (a) π₯=(π + π)/ππ¦ (b) π¦=ππ₯/(π + π) (c) π₯=ππ¦/(π + π) (d) x/π¦=π/π Since DE β₯ BC β ADB = β ABD β AED = β ACB Thus, by AA Similarity Ξ ADE ~ Ξ ABC Since sides are proportional in similar triangles π΄πΈ/π΄πΆ=π·πΈ/π΅πΆ π/(π + π)=π/π ππ¦/(π + π)=π₯ π=ππ/(π + π) So, the correct answer is (c)
CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]
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