Use the diagram below for the following question.

P(2,1), Q(11,1), and R(8,7)
M and N are the midpoints ofandrespectively.
Find the coordinates of M and N.
(its a triangle)

2 answers

GIVEN: P(2 , 1) , Q(11, 1) , R(8 , 7).

(PQ)^2 = (11 - 2)^2 + (1 - 1)^2 = 81.
PQ = sqrt(81) = 9.

(QR)^2 = (8 - 11)^2 + (7 - 1)^2 = 45.
QR = sqrt(45) = 6.71.

Mid-point of PQ: XO = (2 + 11) / 2 =6.5
Yo = (1 + 1) / 2 = 1. M(6.5 , 1).

Mid-point of QR: Xo = (11 + 8) / 2 = 9.5. Yo = (1 + 7) / 2 = 4, N(9.5 , 4).
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