Question

7. In the figure, AABC-AXYZ. What is the perimeter of AABC? Show your work.

Answer 1

• The perimeter of ΔABC is 49 units.

Explanation:

We know that:

• ΔABC ≈ ΔXYZ

Work:

• => 2(ΔABC) = ΔXYZ
• => 2(11 + BC + CA) = (22 + 44 + 32)
• => (11 + BC + CA) = (22 + 44 + 32)/2
• => 11 + BC + CA = 11 + 22 + 16
• => Perimeter of ΔABC = 11 + 22 + 16
• => 49 units

Hence, the perimeter of ΔABC is 49 units.

Hoped this helped.

`BrainiacUser1357`

Answer 2

49

Explanation:

Scale factor = 1 : 2

AB = XY /2 = 22/2 = 11

AC = XZ/2 = 32/2 = 16

BC = YZ/2 = 44/2 = 22

Perimeter of ΔABC = 11 + 16 + 22 = 49