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

7 In The Figure AABCAXYZ What Is The Perimeter Of AABC Show Your Work class=

Sagot :

Devishri1977idn

Answer:

49

Step-by-step 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

Answer:

  • The perimeter of ΔABC is 49 units.

Step-by-step 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.

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