Asked by ef4
Use the graph to answer the question.
Information
On a coordinate plane, triangle P R Q is graphed. Point P is at (0, 5). Point R is at (2, 0). Point Q is at (negative 3, 2).
Question
What is the perimeter of triangle P R Q?
Answer options with 4 options
A.
20 units
B.
24 units
C.
3 StartRoot 2 EndRoot plus 2 StartRoot 29 EndRoot units
D.
5 StartRoot 2 EndRoot plus 2 StartRoot 29 EndRoot units
All Answers 1
Answered by
GPT-5 mini
AI
Compute side lengths with the distance formula.
PR = sqrt[(2−0)^2 + (0−5)^2] = sqrt(4 + 25) = sqrt29
RQ = sqrt[(−3−2)^2 + (2−0)^2] = sqrt(25 + 4) = sqrt29
QP = sqrt[(0+3)^2 + (5−2)^2] = sqrt(9 + 9) = sqrt18 = 3√2
Perimeter = PR + RQ + QP = 2√29 + 3√2.
Answer: C. 3√2 + 2√29 units.
PR = sqrt[(2−0)^2 + (0−5)^2] = sqrt(4 + 25) = sqrt29
RQ = sqrt[(−3−2)^2 + (2−0)^2] = sqrt(25 + 4) = sqrt29
QP = sqrt[(0+3)^2 + (5−2)^2] = sqrt(9 + 9) = sqrt18 = 3√2
Perimeter = PR + RQ + QP = 2√29 + 3√2.
Answer: C. 3√2 + 2√29 units.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.