Question

Find the perimeter of the triangle whose vertices are (−7,−1), (5,−1), and (5,4). Write the exact answer. Do not round.

Answer 1

The perimeter of the triangle is 30 units

How to determine the perimeter?

The vertices are (−7,−1), (5,−1), and (5,4).

Start by calculating the distance between the vertices using:

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

So, we have:

$d1 = \sqrt{(-1 + 1)^2 + (5 + 7)^2$

d1 = 12

$d2 = \sqrt{(-1 - 4)^2 + (5 - 5)^2$

d2 =5

$d3 = \sqrt{(-1 - 4)^2 + (-7 - 5)^2$

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

Read more about perimeter at:

brainly.com/question/6465134

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