Question

In the figure below, AE | BD. What is the value of x?

Answer 1

The value of x=3

Explanation:

We are given that

AE is parallel to BD.

BC=12 units

CD=16 units

DE=4 units

AB=x

We have to find the value of x.

Triangle proportionality theorem:

When a line is parallel to one side of a triangle and intersect the other two sides of triangle, then the line divides the sides proportionally.

Using triangle proportionality theorem

`(BC)/(AB)=(CD)/(DE)`

`(12)/(x)=(16)/(4)`

`x=(12* 4)/(16)`

`x=3`units

Hence, the value of x=3