document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #6773 by askmemath(368) $\"\"$ $\"About$

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For the point to bisect the line segment it must lie equ-distant from both points.\r
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\n" ); document.write( "\n" ); document.write( "Distance from the point (a,b) = $\"%28%28a-%28a%2Bb%29%2F2%29%5E2+%2B+%28b-%28a%2Bb%29%2F2%29%5E2%29%5E0.5\"$ \r
\n" ); document.write( "\n" ); document.write( "Distance from the point (b,a) = $\"%28%28a-%28a%2Bb%29%2F2%29%5E2+%2B+%28b-%28a%2Bb%29%2F2%29%5E2%29%5E0.5\"$ \r
\n" ); document.write( "\n" ); document.write( "Both distances are equal.\r
\n" ); document.write( "\n" ); document.write( "Hence the point ((a+b)/2,(a+b)/2) bisects the 2 given points \n" ); document.write( "

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