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find the point B on AC such that the ratio of AB to BC is 1:1

involving dividing line segments
is a geometry class
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2 Answers

If B divides line AC into two equal parts, then B is the midpoint and we can use the midpoint formula:
 
xB = (xA + xC)/2
yB = (yA + yC)/2
 
B would be, by definition, the midpoint.