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Genrish500 [490]
3 years ago
5

What is the perimeter of ABC with vertices A (-2,9) , B (7,-3) , C (-2,-3) in the coordinate plane?

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

9514 1404 393

Answer:

  D.  36 units

Step-by-step explanation:

Using the distance formula, we find the length of AB to be ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15

The line BC is horizontal, so its length is the difference of the x-coordinates:

  BC = 7 -(-2) = 9

The line AC is vertical, so its length is the difference of the y-coordinates:

  AC = 9 -(-3) = 12

The sum of the lengths of the sides of the triangle is ...

  P = 15 + 9 + 12 = 36

The perimeter is 36 units.

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