Answer:
VW=16
Step-by-step explanation:
According to the midsegment theorem of a triangle,
[tex]XU= \frac{1}{2} VW[/tex]
We substitute the expression in terms of p to get:
[tex]p - 13 = \frac{1}{2} (p - 5)[/tex]
Multiply through by 2
[tex]2p - 26 = p - 5[/tex]
Group similar terms:
[tex]2p - p = - 5 + 26[/tex]
Simplify;
[tex]p = 21[/tex]
This implies that:
VW=21-5=16
