Question

I need help on this exercise

Answer 1

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.

$\Rightarrow ST || PR \ \text{and} \ ST=\frac{1}{2} PR$

$\Rightarrow S T=\frac{1}{2} P R$

$\Rightarrow 8=\frac{1}{2} P R$

Multiply by 2 on both sides.

$\Rightarrow 8\times 2=2\times \frac{1}{2} P R$

⇒ 16 = PR

The length of PR is 16 inches.