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deepaksoni
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Asked: 2021-08-14T14:56:49+05:30 In:

In a ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC.If AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.

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Question drawn from very renowned book RD sharma of class 10th, Chapter no. 4
Chapter name:- Triangles
Exercise :- 4.2
This is very important question of triangle.

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 = 4 cm, DB = 4.5 cm and AE = 8 cm,

Now we have to find the length of AC.

learning CBSE maths in efficient way

RD sharma, DHANPAT RAI publication
Class 10th, triangle

class 10thrd sharmatriangles
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    1 Answer

    1. Guru

      Given:

      Length of side AD = 4 cm, DB = 4.5 cm, AE = 8 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,

      4/4.5 = 8/AC

      AC = (4.5 × 8)/4 cm

      ∴AC = 9 cm

      Therefore, Length of side AC is 9 cm

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