Question

The first vertex has coordinates left parenthesis 1 comma 1 right parenthesis. The second vertex has coordinates left parenthesis 3 comma 4 right parenthesis. The third vertex has coordinates left parenthesis 5 comma 1 right parenthesis.


Use the coordinates to compute the perimeter of the triangle.

(1 point)
Responses

10.8 units
10.8 units

11.2 units
11.2 units

12 units
12 units

10 units

Answer 1

Compute the side lengths:
- d((1,1),(3,4)) = sqrt((3−1)^2 + (4−1)^2) = sqrt(4+9) = sqrt(13)
- d((3,4),(5,1)) = sqrt((5−3)^2 + (1−4)^2) = sqrt(4+9) = sqrt(13)
- d((1,1),(5,1)) = sqrt((5−1)^2 + (1−1)^2) = 4

Perimeter = 4 + 2·sqrt(13) ≈ 4 + 7.2111 = 11.2 units.

Answer: 11.2 units.