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
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