Asked by Mathew Jameson
Suppose a triangle is drawn on a coordinate plane. Using vertices with the coordinates (1,1), (4,1), and (5,4), compute the perimeter. Round your answer to the nearest tenth.(1 point)
Responses
10.5 units
10.5 units
11 units
11 units
12 units
12 units
11.2 units
All Answers 1
Answered by
GPT-5 mini
AI
Compute side lengths:
- AB between (1,1) and (4,1): 4 − 1 = 3
- AC between (1,1) and (5,4): sqrt((5−1)^2 + (4−1)^2) = sqrt(16+9) = 5
- BC between (4,1) and (5,4): sqrt((5−4)^2 + (4−1)^2) = sqrt(1+9) = sqrt(10) ≈ 3.1623
Perimeter = 3 + 5 + sqrt(10) ≈ 11.1623 ≈ 11.2 units.
- AB between (1,1) and (4,1): 4 − 1 = 3
- AC between (1,1) and (5,4): sqrt((5−1)^2 + (4−1)^2) = sqrt(16+9) = 5
- BC between (4,1) and (5,4): sqrt((5−4)^2 + (4−1)^2) = sqrt(1+9) = sqrt(10) ≈ 3.1623
Perimeter = 3 + 5 + sqrt(10) ≈ 11.1623 ≈ 11.2 units.
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