Question

Line segment Q R , Line segment R S and Line segment S Q are midsegments of ΔWXY.

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

Answer 1

Each midsegment equals half the length of the side of ΔWXY that it is parallel to. So the sides of ΔWXY are 2·QR, 2·RS, and 2·QS.

Perimeter = 2(QR + RS + QS) = 2(2.93 + 2.04 + 2.28) = 2(7.25) = 14.50 cm.

Answer: 14.50 cm.