Question

Iliana wants to find the perimeter of triangle ABC. She uses the distance formula to determine the length of AB. Finish Iliana’s calculations to find the length of AB.



What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

10 units
11 units
12 units
13 units

Answer 1

I don't have the coordinates or the diagram — I need the coordinates of A, B, and C (or the picture) or Iliana's partial work to finish the calculation. Could you paste those here?

If you want to proceed yourself, here are the exact steps to finish:

1. Use the distance formula for each side:
- AB = sqrt[(xB − xA)^2 + (yB − yA)^2]
- BC = sqrt[(xC − xB)^2 + (yC − yB)^2]
- CA = sqrt[(xA − xC)^2 + (yA − yC)^2]

2. Add the three lengths to get the perimeter: P = AB + BC + CA.

3. Round the result to the nearest tenth if needed.

If you give the coordinates (or Iliana’s intermediate expression for AB), I’ll compute AB and the perimeter and pick the correct choice.