Answer:
The perimeter of Δ WXY is 14.50 cm ⇒ the last answer
Step-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
