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Vaselesa [24]
3 years ago
8

Find the perimeter of the triangle in units. Round to two decimal places as necessary.

Mathematics
1 answer:
Dimas [21]3 years ago
4 0

Answer:

  • 54.56 units

Step-by-step explanation:

<u>The vertices are:</u>

  • K(-12,2), L(-7,12), J(3,-10)

<u>Find the sides using distance formula:</u>

  • KL = \sqrt{(-7+12)^2+(12-2)^2} = \sqrt{125} ≈ 11.18
  • LJ = \sqrt{(3+7)^2+(-10-12)^2}  = \sqrt{584} ≈ 24.17
  • KJ = \sqrt{(3+12)^2+(-10-2)^2} = \sqrt{369} ≈ 19.21

<u>Find perimeter:</u>

  • P = KL + LJ + KJ
  • P = 11.18 + 24.17 + 19.21 = 54.56 units
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