Question

What is the perimeter of the triangle??? Answer: A: 32.0 B: 34.0 C: 37.5 D: 40.4

Answer 1

Answer:

The correct option is C.

The perimeter is 37.5

Step-by-step explanation:

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

The sides have the following coordinates:

(-8, 7), (2, -4), and (6, 3)

We find the length from

(-8, 7) to (2, -4)

(2, -4) to (6, 3)

(6, 3) to (-8, 7)

The lengths are:

`\sqrt[]{221},\sqrt[]{65},\sqrt[]{212}`

The perimeter, therfore, is:

`\sqrt[]{221}+\sqrt[]{65}+\sqrt[]{212}=37.5`