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

Use the distance formula to find the perimeter of the triangle below. Round you answer-example-1
User Svimre
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1 Answer

13 votes
13 votes

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.

User Summon
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