The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds.

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

On further simplification, we get

Therefore, the value of x is -11.