2 Answers

PQR with vertices P(–2, 9), Q(7, –3), and R(–2, –3)
First distance P(–2, 9), Q(7, –3)
The distance (d) between two points is given by the following formula:
d = √{x2 – x1}^2 +{y2 – y1}2
Thus in our case, the required distance is
d = √{7 – (2) } ^2 + {3 9)^2 = 15
So, PQ = 15….one side of PQR
Second distance P(–2, 9), R(–2, –3)
The distance (d) between two points is given by the following formula:
d = √{x2 – x1}^2 + {y2 – y1)^2
Thus in our case, the required distance is
d = √{2 – (2) }^2 + {3 9)^2 = 12
PR = 12….second side of PQR
Third distance Q(7, –3), R(–2, –3)
The distance (d) between two points is given by the following formula:
d = √{x2 – x1}^2 + {y2 – y1}^2
Thus in our case, the required distance is
d = √{2 7}^2 + {3 (3) }^2 = 9
QR = 9….third side of PQR
Now you are ready to find the perimeter P = PQ + PR + QR
P = 15 + 12 + 9
P = 36
Hope this helps! (:

p(2,9) q(7,3) and r(2,3)
Using the distance formula to find the lengths of each side:
d = SQR[(x2 – x1)^2 + (y2 – y1)^2]
PQ = SQR[(9)^2 + (12)^2] = SQR(81 + 144) = SQR(225) = 15 (positive root)
RQ = SQR[(9)^2 + (0)^2] = SQR(81) = 9 (positive root)
RP = SQR[(0)^2 + (12)^2] = SQR(144) = 12 (positive root)
Perimeter = 15 + 9 + 12 = 36
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