Question

Solve for VU. Enter your answer as a decimal in the box.

R
VU =
V
in
P
21.6 in
U

Answer 1

10.8

Explanation:

Theorem:

In a triangle, a segment whose endpoints are the midpoints of two sides is parallel to and half the length of the third side.

Look at the figure. The endpoints of segment VU are the midpoints of two sides of triangle PQR. That means that segment VU is parallel to side QR, and the length of segment VU is half the length of side QR.

VU = (1/2)(QR)

VU = (1/2)(21.6 in.)

VU = 10.8 in.