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

$AB=\dfrac{1}{2}EG$

$x+14=\dfrac{1}{2}(17+x)$

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

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

On further simplification, we get

$2x+28=17+x$

$2x-x=17-28$

$x=-11$

Therefore, the value of x is -11.