Answer:
Midsegment theorem:
Midsegment of a triangle is half the length of the third side in order to fill in the triangle.
So, the perimeter of a midsegment tirangle is half the perimeter of QRS.
Perimeter of QRS:
For finding out it's perimeter sum up all the sides while adding alike variables together.
=> (2x + 5) + (3x - 1) + (5x)
= 2x + 3x + 5x + 5 - 1
= 10x + 4
Perimeter of mid-segment triangle:
Perimeter of QRS divided by 2
[tex] \implies \mathsf{ \frac{10x + 4}{2} }[/tex]
= 5x + 2
