Question

Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.​

Answer 1

Answer: The perimeter of this triangle is 13.47.

Explanation:

First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)
`d = √((3 - 8)^2 + (3-6)^2)`

*Note: Keep X and Y consistent in the distance equation.

The distance for CB = 5.831

After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.

`d = √((5 - 8)^2 + (7-6)^2)`

The distance for AB = 3.162

Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).

`d = √((5 - 3)^2 + (7-3)^2)`

The distance for AC =4.472

Then find the perimeter by adding up the three side lengths.

AB + CB + AC = P

`5.831 +3.162+4.472=13.465`

Finally, round 13.465 to the nearest hundredth, 13.47.

*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.