Answer:
[tex]GE=10\ units[/tex]
Step-by-step explanation:
we know that
The Midpoint Theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side
In this problem segment XY join the midpoints of side EF and side GF of triangle EFG
so
applying the midpoint theorem
[tex]XY=\frac{GE}{2}[/tex]
we have
[tex]XY=5\ units[/tex]
substitute
[tex]5=\frac{GE}{2}[/tex]
solve for GE
[tex]GE=5(2)=10\ units[/tex]
