Question

Solve for x.
Need help, please

Answer 1

Given:

The figure of a triangle with mid segment.

To find:

The value of x.

Solution:

According to triangle mid-segment theorem, the mid-segment of a triangle is parallel to the base and the length of the mid-segment is half of the base.

Using the triangle mid-segment theorem, we get

`AB=(1)/(2)EG`

`x+14=(1)/(2)(17+x)`

`2(x+14)=17+x`

`2(x)+2(14)=17+x`

On further simplification, we get

`2x+28=17+x`

`2x-x=17-28`

`x=-11`

Therefore, the value of x is -11.