In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC? Explain.

llm

Answered on Thu May 26 2022

As per question

Find XY

AY=AX or AY + AX = XY

AY = 7

AX = 7

XY = AY + AX

XY = 7 + 7

XY = 14

Find YZ

BZ = BY or BZ + BY = YZ

BY = 8

BZ = 8

YZ = BY + BZ

YZ = 8 + 8

YZ = 16

Calculate the perimeter

Perimeter = XY + YZ + XZ

Perimeter = 14 + 16 + 18

Perimeter = 48

Therefore, the perimeter is 48.

In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.Also, AY = 7. BZ = 8, and XZ = 18. What is the perimeter of Triangle ABC? Explain.​