document.write( "Question 29000: please help me solve this problem..thank you!..\r
\n" ); document.write( "\n" ); document.write( "the bases of a trapezoid are 100m and 160m, and its altitude equal to 12m. it is to be divided into two equal parts by a line parallel to the bases. find the length of the dividing line. \n" ); document.write( "
Algebra.Com's Answer #15853 by venugopalramana(3286)\"\" \"About 
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the bases of a trapezoid are 100m and 160m, and its altitude equal to 12m. it is to be divided into two equal parts by a line parallel to the base. find the length of the dividing line.
\n" ); document.write( "LET A=160 M. THE TOP SIDE...AND ....C=100 M.THE BOTTOM SIDE.
\n" ); document.write( "LET THE DIVIDING SIDE BE B M.
\n" ); document.write( "AREA OF TRAPEZIUM = (1/2)(SUM OF PARALLEL SIDES)*ALTITUDE
\n" ); document.write( "SINCE TRAPEZEUM IS DIVIDED IN TO 2 EQUAL PARTS,WE HAVE
\n" ); document.write( "0.5*(160+B)*HTOP=0.5(B+100)*HBOT
\n" ); document.write( "SINCE HEIGHT IS PROPORTIONAL TO DIFFERENCE IN PARALLEL SIDES ,WE HAVE
\n" ); document.write( "HTOP=K*(160-B)
\n" ); document.write( "HBOT=K*(B-100)
\n" ); document.write( "HENCE
\n" ); document.write( "0.5*(160+B)*K(160-B)=0.5(B+100)*K*(B-100)
\n" ); document.write( "160^2-B^2=B^2-100^2
\n" ); document.write( "B^2=(160^2+100^2)/2=35600/2=17800
\n" ); document.write( "B=SQUARE ROOT OF (17800)=133.4
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