I need help on this exercise

Question

asked May 26, 2021 90.6k views

1 Answer

Matteo Italia · Answer 1 · 2021-05-30T13:58:44+0000

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.

$\Rightarrow ST || PR \ \text{and} \ ST=(1)/(2) PR$

$$\Rightarrow S T=(1)/(2) P R$

$$\Rightarrow 8=(1)/(2) P R$

Multiply by 2 on both sides.

$$\Rightarrow 8* 2=2* (1)/(2) P R$

⇒ 16 = PR

The length of PR is 16 inches.