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In a ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC.If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.

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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.

We have a triangle ΔABC,  in which D and E are points on the sides AB and AC respectively such that DE || BC.

Also it is given AD = 8 cm, AB = 12 cm and AE = 12 cm,

Now we have to find CE.

 

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RD sharma, DHANPAT RAI publication

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1 Answer

  1. Given: 

    Length of side AD = 8 cm, AB = 12 cm, and AE = 12 cm.

    To find: Length of side CE.

    By using Thales Theorem, we get

    AD/BD = AE/CE                              – equation 1

    Now, putting values in equation 1,

    8/4 = 12/CE

    8 x CE = 4 × 12 cm

    CE = (4 × 12)/8 cm

    CE = 48/8 cm

    ∴ CE = 6 cm

    Therefore, Length of side x is 6 cm

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