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
[tex]AB=\dfrac{1}{2}EG[/tex]
[tex]x+14=\dfrac{1}{2}(17+x)[/tex]
[tex]2(x+14)=17+x[/tex]
[tex]2(x)+2(14)=17+x[/tex]
On further simplification, we get
[tex]2x+28=17+x[/tex]
[tex]2x-x=17-28[/tex]
[tex]x=-11[/tex]
Therefore, the value of x is -11.
