Question

PLEASE HELP GIVING BRAINLIST!!! Given ΔXYZ is isosceles, what is XZ if the perimeter is 107 units and XZ = 1/2 XY?

Answer 1

• XY+YZ+XZ=107

And XZ=1/2XY

XZ be x

• XY=YZ=2x

Now

• x+2x+2x=107
• 5x=107
• x=21.4units

XZ=21.4units

Answer 2

Answer:

XZ = 21.4 units

Step-by-step explanation:

If  ΔXYZ  is an isosceles triangle then XY = ZY

(the dashes on the line segments indicate they are of equal measure)

If XZ = ¹/₂XY then

⇒ 2XZ = XY = ZY

If the perimeter is 107 units:

⇒ Perimeter of ΔXYZ = XY + ZY + XZ

⇒ 107 = 2XZ + 2XZ + XZ

⇒ 107 = 5XZ

⇒ XZ = 107 ÷ 5

⇒ XZ = 21.4 units