document.write( "Question 305506: find the length of the median from A to BC, in triangle ABC with A(4,6), B(-5,-3), and C(-5,13). \n" ); document.write( "

Algebra.Com's Answer #218756 by graphmatics(170) $\"\"$ $\"About$

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by definition the median of a triangle vertex is the line from the vertex to the midpoint of the subject line. Clearly the midpoint of bc is located at (-5,(13-3)/2) = (-5,5). So we only need the distance from (4,6) to (-5,5)\r
\n" ); document.write( "\n" ); document.write( " $\"dist+=+sqrt%28+%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29+\"$
\n" ); document.write( " $\"dist+=+sqrt%28+%285-6%29%5E2%2B%28-5-4%29%5E2%29+\"$
\n" ); document.write( " $\"dist+=+sqrt%28+%28-1%29%5E2%2B%28-9%29%5E2%29+\"$
\n" ); document.write( " $\"dist+=+sqrt%28+1%2B81%29+\"$
\n" ); document.write( " $\"dist+=+sqrt%28+82%29\"$ \n" ); document.write( "

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