1 Answer

Sdkljhdf Hda · Answer 1 · 2019-09-03T12:29:57+0000

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the distance formula.

The distance formula is:
d =√((x_2-x_1)^2+(y_2-y_1)^2) .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to
(x_(1),y_(1)) , and (2, -1) is assigned to
(x_(2),y_(2)) . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^(2)+ (-1 - (-1))^(2)}$

$d =\sqrt{5^(2)+0^(2)}$

d =√(25) = 5

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to
(x_(1),y_(1)) and
(x_(2),y_(2)) , then substitute it into the formula.

$d =\sqrt{(2 - 2)^(2)+ (-1 - 3)^(2)}$

$d =\sqrt{0^(2)+(-4)^(2)}$

d =√(16) = 4

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to
(x_(1),y_(1)) and
(x_(2),y_(2)) and substitute!

$d =\sqrt{(2 -(-3))^(2)+ (3 - (-1))^(2)}$