Question

Use the distance formula to find the perimeter. Round to the nearest tenth.

Answer 1

37.6 units

Explanation:

Perimeter = sum of all sides of the triangle

To find the sum, find the distance between each points.

✔️Distance between points (-7, 6) and (5, -4):

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) =`

`= √((5 - (-7))^2 + (-4 - 6)^2)`

`= √((12)^2 + (-10)^2)`

`= √(144 + 100)`

`= √(244) = 15.6 units` (nearest tenth)

✔️Distance between (-7, 6) and (-7, -4):

|6 -(-4)| = 10 units

✔️Distance between (-7, -4) and (5, -4)

|-7 - 5| = 12 units

✔️ Perimeter = 15.6 + 10 + 12 = 37.6 units