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Perpendicular Bisector Theorem:
In the shown figure, the line segment AB is bisected by line CM since it is given in the question.
[tex]CM\perp AB[/tex]Which simply means that the line CM bisected line AB at 90°.
So, that means we have two Right angled triangles, these are triangle AMC and BMC
This also means that the line CM is equal for both triangles since it is common to both.