document.write( "Question 57824: construct a paralellogram ABCD in which BC=5.5cm, CD=2.5cm and angle ABC=60 degrees. Measure AC and BD \n" ); document.write( "
Algebra.Com's Answer #39514 by venugopalramana(3286) You can put this solution on YOUR website! construct a paralellogram ABCD in which BC=5.5cm, CD=2.5cm and angle ABC=60 degrees. Measure AC and BD \n" ); document.write( "IN A PARALELOGRAM OPPOSITE SIDES ARE EQUAL. \n" ); document.write( "HENCE AB=CD=2.5....BC=DA=5.5 \n" ); document.write( "DRAW BC = 5.5. \n" ); document.write( "WITH B AS CENTRE DRAW AN ARC OF RADIUS = AB = 2.5. \n" ); document.write( "AT B DRAW A LINE BX MAKING ANGLE OF 60 DEGREES WITH BC..THAT IS ANGLE XBC=60 \n" ); document.write( "LET THE ARC CUT BX AT A. \n" ); document.write( "WITH A AS CENTRE AND RADIUS EQUAL TO AD=5.5 DRAW AN ARC. \n" ); document.write( "WITH C AS CENTRE AND RADIUS EQUAL TO CD=2.5 DRAW AN ARC. \n" ); document.write( "LET THE 2 ARCS CUT AT D. \n" ); document.write( "JOIN CD AND DA \n" ); document.write( "ABCD IS THE REQUIRED PARALLELOGRAM. \n" ); document.write( "AC^2=AB^2+BC^2-2*AB*BC*COS(60) = 22.75 \n" ); document.write( "AC=4.77=4.8 \n" ); document.write( "BD=AC^2+CB^2-2*AC*CB*COS(120)= 50.25 \n" ); document.write( "BD=7.09=7.1 \n" ); document.write( " |