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):
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = [/tex]
[tex] = \sqrt{(5 - (-7))^2 + (-4 - 6)^2} [/tex]
[tex] = \sqrt{(12)^2 + (-10)^2} [/tex]
[tex] = \sqrt{144 + 100} [/tex]
[tex] = \sqrt{244} = 15.6 units [/tex] (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
