Adv
deepaksoni
  • 0
Guru

In a ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC. If AD/DB = 2/3 and AC = 18 cm, Find AE.

  • 0

Question taken from RD sharma
Class 10th
Chapter no. 4
Chapter name:- Triangles
Exercise :- 4.2
This is very basic and important questions.

In this question 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 that AD/DB = 2/3 and AC = 18 cm,

Now we have to find the length of AE.

 

Understanding and learning CBSE maths
RD sharma, DHANPAT RAI publication

Share

1 Answer

  1. Given:

    Length of side AD/BD = 2/3 and AC = 18 cm

    To find: Length of side AE.

    By using Thales Theorem, we get

    AD/BD = AE/CE                      – equation 1

    Let, AE = x

    Then CE = 18 – x

    Now, putting values in equation 1,

    ⇒ 23 = x/ (18 – x)

    3x = 36 – 2x

    5x = 36 cm

    x = 36/5 cm

    x = 7.2 cm

    ∴ AE = 7.2 cm

    Therefore, Length of side AE is 7.2 cm

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions