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deepaksoni
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Asked: 2021-08-14T15:04:11+05:30 In:

In a ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC.If AD/BD = 4/5 and EC = 2.5 cm, Find AE.

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Question extracted from RD sharma of class 10th, Chapter no. 4
Chapter name:- Triangles
Exercise :- 4.2
This is very basic and important questions. And has been asked in several times in exams

In this question we have ΔABC,  in which D and E are points on the sides AB and AC respectively such that DE || BC.

Also it is given that AD/BD = 4/5 and EC = 2.5 cm,

Now we have to Find AE.

 

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RD sharma, DHANPAT RAI publication

chapter 4class 10thexercise 4.2rd sharma
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    1. Guru

      Given:

      Length of side AD/BD = 4/5 and EC = 2.5 cm

      To find: Length of side AC.

      By using Thales Theorem, we get

      AD/BD = AE/CE                     – equation 1

      Now, putting values in equation 1,

      Then, 4/5 = AE/2.5

      ∴ AE = 4 × 2.55 = 2 cm

      Therefore, Length of side AE is 2 cm

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