The values of the missing measures are:
MH = 34.01
IK = 25.06
HI = 50.12
MG = 34.01
What is circumcenter of triangle?
The circumcenter is the point where the perpendicular bisectors of a triangle's sides intersect. It is equidistant from the triangle's vertices.
From the figure
M is circumcenter
From ∆GHM
MG² = MJ² + JG²
= 31² + 14²
= 961 + 196
MG =√1157
= 34. 01
MH = MG = 34.01
MH² = MK² + KH²
34.01² = 23² + KH²
1157 = 592 + KH²
KH² = 1157 592
KH = √628
= 25.06
IK = KH = 25.06
HI = IK + KH
= 25.06 + 25.06
= 50.12
The values of the missing measures are:
MH = 34.01
IK = 25.06
HI = 50.12
MG = 34.01