SOLUTION: Show that the point (((a+b)/2),((a+b)/2)) bisects the line segment (a,b) to (b,a), a cannot equal b.

Algebra ->  Algebra  -> Human-and-algebraic-language -> SOLUTION: Show that the point (((a+b)/2),((a+b)/2)) bisects the line segment (a,b) to (b,a), a cannot equal b.      Log On

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Question 13424: Show that the point (((a+b)/2),((a+b)/2)) bisects the line segment (a,b) to (b,a), a cannot equal b.
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
For the point to bisect the line segment it must lie equ-distant from both points.

Distance from the point (a,b) = %28%28a-%28a%2Bb%29%2F2%29%5E2+%2B+%28b-%28a%2Bb%29%2F2%29%5E2%29%5E0.5
Distance from the point (b,a) = %28%28a-%28a%2Bb%29%2F2%29%5E2+%2B+%28b-%28a%2Bb%29%2F2%29%5E2%29%5E0.5
Both distances are equal.
Hence the point ((a+b)/2,(a+b)/2) bisects the 2 given points