document.write( "Question 25896: Find the lengths of the medians of the triangle with verticies A(1,0), B(3,6) AND C(8,2). (A median is a line segment from a vertex to the midpoint of the opposite side) \n" ); document.write( "

Algebra.Com's Answer #13924 by venugopalramana(3286) $\"\"$ $\"About$

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Find the lengths of the medians of the triangle with verticies A(1,0), B(3,6) AND C(8,2). (A median is a line segment from a vertex to the midpoint of the opposite side)
\n" ); document.write( "LET THE MID POINTS OF BC,CA AND AB.... BE .......D,E,AND F.
\n" ); document.write( "MID POINT OF (X1,Y1) AND (X2,Y2)IS GIVEN BY (X1+X2)/2 AND (Y1+Y2)/2
\n" ); document.write( "HENCE
\n" ); document.write( "D=(3+8)/2 AND (6+2)/2..THAT IS...(5.5 ,4)
\n" ); document.write( "SIMILARLY
\n" ); document.write( "E = (4.5,1)
\n" ); document.write( "AND
\n" ); document.write( "F = (2,3)
\n" ); document.write( "NOW DISTANCE BETWEEN TWO POINTS (X1,Y1) AND (X2,Y2) IS GIVEN BY
\n" ); document.write( "SQRT.{(X1-X2)^2+(Y1-Y2)^2}...HENCE MEDIAN
\n" ); document.write( "AD = SQRT.{(5.5 - 1)^2+(4-0)^2}=SQRT(36.25)
\n" ); document.write( "YOU CAN FIND THE OTHER MEDIANS BE AND CF IN THE SAME WAY \n" ); document.write( "

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