_____ are ______ midsegments of ΔWXY.What is the perimeter of ΔWXY?11.57 cm12.22 cm12.46 cm14.50 cm

Answer:The perimeter of Δ WXY is 14.50 cm ⇒ the last answerStep-by-step explanation:* Lets explain how to solve the problem- There is a fact in any triangle; the segment joining the midpoints of   two side of a triangle is parallel to the 3rd side and half its length* Lets use this fact to solve the problem- In Δ WXY∵ Q is the midpoint of WX∵ R is the midpoint of XY ∵ S is the midpoint of YW- By using the fact above∴ QR = 1/2 WY∴ RS = 1/2 WX∴ SQ = 1/2 XY- Lets calculate the length of the sides of Δ WXY∵ QR = 1/2 WY∵ QR = 2.93∴ 2.93 = 1/2 WY ⇒ multiply both sides by 2∴ WY = 5.86 cm∵ RS = 1/2 WX∵ RS = 2.04∴ 2.04 = 1/2 WX ⇒ multiply both sides by 2∴ WX = 4.08 cm∵ SQ = 1/2 XY∵ SQ = 2.28∴ 2.28 = 1/2 XY ⇒ multiply both sides by 2∴ XY = 4.56 cm- Lets find the perimeter of Δ WXY∵ The perimeter of Δ WXY = WX + XY + YW∴ The perimeter of Δ WXY = 5.86 + 4.08 + 4.56 = 14.50* The perimeter of Δ WXY is 14.50 cm