Question

If T is the circumcenter of MNP, find the indicated measure: Find MN

Answer 1

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