Answer-
The length of GE is 10 units.
Solution-
Mid-Point Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given,
EX = XF, so X is the mid point of EF
GY = YF, so Y is the mid point of GF
Hence, XY is the line segment connecting the midpoints of two sides of a triangle.
Applying the theorem,
GE = 2XY = 2×5 = 10 units
