Question 1184233
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There is a standard algebraic and there is a standard geometric procedures to find that point.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(1)  &nbsp;&nbsp;<U>Geometric procedure</U>



<pre>
Construct the perpendicular bisector to the segment AB.


Construct the perpendicular bisector to the segment BC.


Take the intersection point: it is EQUIDISTANT from the three given points A, B and C.
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(2) &nbsp;&nbsp;<U>Algebra procedure</U>



<pre>
Write equation of the straight line which is the perpendicular bisector of the segment AB.


Write equation of the straight line which is the perpendicular bisector of the segment BC.


Solve the system of the two equation to find the intersection point: : it is EQUIDISTANT from the three given points A, B and C.
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