Answer:
Perimeter = 22.434
Step-by-step explanation:
To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:
The formula for the distance between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
side UV:
[tex]UV = \sqrt{(-2 - 3)^2 + (4 - 4)^2} = 5[/tex]
side VW:
[tex]VW = \sqrt{(3 - 3)^2 + (4 - (-4))^2} = 8[/tex]
side UW:
[tex]UW = \sqrt{(-2 - 3)^2 + (4 - (-4))^2} = 9.434[/tex]
So the perimeter is:
[tex]P = UV + VW + UW[/tex]
[tex]P = 5 + 8 + 9.434 = 22.434[/tex]
