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Answer :

9514 1404 393

Answer:

  15.8

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

so the distance from A to B is ...

  AB = √((-1-5)^2 +(1-(-1))^2) = √((-6)^2 +2^2) = √40 ≈ 6.3

Lengths BC and CA are similarly computed. (A spreadsheet does this nicely.)

The perimeter is the sum of the side lengths. It is ...

  P = AB +BC +CA

  P = 6.3 + 4.1 + 5.4

  P = 15.8

The perimeter of ∆ABC is 15.8 units.

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