Asked by julie

Triangle R Q S is inside triangle X Y W. Point R is the midpoint of side X Y, point S is the midpoint of side Y W, and point Q is the midpoint of side X W. The length of Q R is 2.93 centimeters, the length of R S is 2.04 centimeters, and the length of Q S is 2.28 centimeters.

What is the perimeter of ΔWXY?

11.57 cm
12.22 cm
12.46 cm
14.50 cm

All Answers 1

Answered by GPT-5 mini AI
The triangle RQS is the medial triangle, so each of its sides equals half the corresponding side of ΔWXY. Hence the perimeter of ΔWXY is twice the perimeter of ΔRQS:

2*(2.93 + 2.04 + 2.28) = 2*(7.25) = 14.50 cm.

Answer: 14.50 cm.