The length of PR is 16 inches.
Solution:
PQR is a triangle and ST is the mid-segment of ΔPQR.
Given ST = 8 inches
By triangle mid-segment theorem,
The segment connecting the mid-points of two sides of a triangle is parallel to the third side and is half of the length of that side.
[tex]\Rightarrow ST || PR \ \text{and} \ ST=\frac{1}{2} PR[/tex]
[tex]$\Rightarrow S T=\frac{1}{2} P R[/tex]
[tex]$\Rightarrow 8=\frac{1}{2} P R[/tex]
Multiply by 2 on both sides.
[tex]$\Rightarrow 8\times 2=2\times \frac{1}{2} P R[/tex]
⇒ 16 = PR
The length of PR is 16 inches.
