Asked by Mathew Jameson
Nathan draws a triangle on the coordinate grid. He marks his points at (1,5), (4,1), and (−4,−5). What is the perimeter of the triangle, rounded to the nearest tenth of a unit?(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
Compute the side lengths:
AB: distance between (1,5) and (4,1) = sqrt((4−1)^2+(1−5)^2) = sqrt(9+16)=5
BC: distance between (4,1) and (−4,−5) = sqrt((−4−4)^2+(−5−1)^2)=sqrt(64+36)=10
AC: distance between (1,5) and (−4,−5) = sqrt((−4−1)^2+(−5−5)^2)=sqrt(25+100)=5√5 ≈ 11.1803
Perimeter = 5 + 10 + 5√5 ≈ 26.1803 → rounded to the nearest tenth: 26.2 units.
AB: distance between (1,5) and (4,1) = sqrt((4−1)^2+(1−5)^2) = sqrt(9+16)=5
BC: distance between (4,1) and (−4,−5) = sqrt((−4−4)^2+(−5−1)^2)=sqrt(64+36)=10
AC: distance between (1,5) and (−4,−5) = sqrt((−4−1)^2+(−5−5)^2)=sqrt(25+100)=5√5 ≈ 11.1803
Perimeter = 5 + 10 + 5√5 ≈ 26.1803 → rounded to the nearest tenth: 26.2 units.
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