Question

Can you help me please ​

Answer 1

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

`(2x)/(80)=(27)/(60)`

`(x)/(40)=(9)/(20)`

Multiply both sides by 40.

`x=(9)/(20)* 40`

`x=9* 2`

`x=18`

Therefore, the value of x is 18.