From the diagram above, Calculate the distance between any two vertices as follows.
PQ = (6−3)2+(2−2)2\sqrt{(6 - 3)^2 + (2-2)^2}(6−3)2+(2−2)2 = 9\sqrt{9}9 = 3
QR = (6−4)2+(2−5)2\sqrt{(6 - 4)^2 + (2-5)^2}(6−4)2+(2−5)2 = 13\sqrt{13}13
PR = (4−3)2+(5−1)2\sqrt{(4 - 3)^2 + (5 - 1)^2}(4−3)2+(5−1)2 = 10\sqrt{10}10
∴\therefore∴, perimeter = 3 + 13\sqrt{13}13 + 10\sqrt{10}10