A triangle is shown in the figure below. What is the perimeter? Units are inches. Round to the nearest inch. (1 point)
(-6, -3)
(2, 2)
(2, -3)
Responses 21 in 21 in 22 in 22 in 25 in 25 in 24 in
To find the perimeter of a triangle, we need to calculate the distance between each pair of points and then add them up.
Using the distance formula, the distance between (-6, -3) and (2, 2) is:
√((2 - (-6))^2 + (2 - (-3))^2)
= √((8)^2 + (5)^2)
= √(64 + 25)
= √89
≈ 9.43
The distance between (-6, -3) and (2, -3) is:
√((2 - (-6))^2 + (-3 - (-3))^2)
= √((8)^2 + (0)^2)
= √(64 + 0)
= √64
= 8
The distance between (2, 2) and (2, -3) is:
√((2 - 2)^2 + (-3 - 2)^2)
= √((0)^2 + (-5)^2)
= √(0 + 25)
= √25
= 5
Now, we can find the perimeter by adding up these distances:
Perimeter = 9.43 + 8 + 5 ≈ 22.43 inches
Rounded to the nearest inch, the perimeter is 22 inches.