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katrin [286]
3 years ago
6

The vertices of triangle PQR are listed below.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

A. 32 units

Step-by-step explanation:

First, we need to find all of the side lengths of triangle using distance formula:

  • Distance = \sqrt{(x2-x1)^2 + (y2-y1)^2}

Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:

  • PQ=\sqrt{(-13-(-5))^2+(-3-3)^2} =\sqrt{8^2+6^2}=10
  • QR=\sqrt{(-5-(-13))^2+(-9-(-3))^2} =\sqrt{8^2+6^2}=10
  • PR=\sqrt{(-5-(-5))^2+(-9-3)^2} =\sqrt{0^2+12^2}=12

For perimeter we add up the length of all of its sides:

  • Perimeter = PQ +QR + PR=10+10+12=32

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