As shown in the figure: a -- m -- B -- N -- C, the line AB = 10cm is known. If C is a line segment, any point on the extended line, Mn is the midpoint of AC and BC respectively, Finding the length of Mn

Let am = MC = x, BN = NC = y, MB = Z (draw a picture to make it clear)
We know that x + Z = 10
2y+z=x ②
The results are as follows: 1
x-2y=10-x
2x-2y=10
x-y=5
It can be seen from the figure that X-Y is MC NC = Mn = 5

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