Question

Find the value of x.

Answer 1

Given:

Figure of a triangle.

To find:

The values of x.

Solution:

In the figure, we have an angle bisector.

According to the angle bisector theorem, an angle bisector of a triangle always divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we get

`(x)/(7)=(15)/(14)`

Multiply both sides by 7.

`x=(15)/(14)* 7`

`x=(15)/(2)`

`x=7.5`

Therefore, the value of x is 7.5 units.