Question

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

Answer 1

Answer:

37.6 units

Step-by-step 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):

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} =$

$= \sqrt{(5 - (-7))^2 + (-4 - 6)^2}$

$= \sqrt{(12)^2 + (-10)^2}$

$= \sqrt{144 + 100}$

$= \sqrt{244} = 15.6 units$ (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