Answer:
MN = 55
Step-by-step explanation:
Since T is the circumcenter of ∆MNP, it follows that the perpendicular bisector of side MN divides MN into two equal parts.
Therefore:
MR = RN
MR = 10x -13
RN = 17x - 41
Thus:
10x - 13 = 17x - 41
Collect like terms
10x - 17x = 13 - 41
-7x = -28
Divide both sides by -7
x = 4
MR + RN = MN
(10x - 13) + (17x - 41) = MN
Plug in the value of x
(10(4) - 13) + (17(4) - 41) = MN
(40 - 13) + (68 - 41) = MN
27 + 27 = MN
54 = MN
