The perimeter of the triangle is 30 units
The vertices are (−7,−1), (5,−1), and (5,4).
Start by calculating the distance between the vertices using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2[/tex]
d1 = 12
[tex]d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2[/tex]
d2 =5
[tex]d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2[/tex]
d3 = 13
The perimeter is then calculated as:
P = d1 + d2 + d3
This gives
P = 12 + 5 + 13
Evaluate
P = 30
Hence, the perimeter of the triangle is 30 units
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