Answer:
[tex]QV=13\ units[/tex]
Step-by-step explanation:
we know that
A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
so
In this problem
If QU is a median of triangle UVW
then
QV=QW
substitute the given values
[tex]7x-1=4x+5[/tex]
Solve for x
[tex]7x-4x=5+1[/tex]
[tex]3x=6[/tex]
[tex]x=2[/tex]
Find out the length of segment QV
[tex]QV=7x-1[/tex]
substitute the value of x
[tex]QV=7(2)-1=13\ units[/tex]
