document.write( "Question 1205186: The diagonals of a parallelogram are 6cm and 8cm long and they intersect at an angle of 55°. Calculate the area of the parallogram. \n" ); document.write( "
Algebra.Com's Answer #841828 by ikleyn(52848)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The diagonals of a parallelogram are 6cm and 8cm long and they intersect
\n" ); document.write( "at an angle of 55°. Calculate the area of the parallogram.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "In this parallelogram, the diagonals divide/separate it in 4 (four) triangles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Two of these 4 triangles are congruent and have the sides 3= 6/2 meters and 4= 8/2 meters\r\n" );
document.write( "with the concluded angle of 55°.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Two other of these 4 triangles are congruent and have the sides 3= 6/2 meters and 4= 8/2 meters\r\n" );
document.write( "with the concluded angle of 180° - 55° = 125°.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, the area of this parallelogram is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"2%2A%281%2F2%29%2A3%2A4%2Asin%2855%5Eo%29+%2B+2%2A%281%2F2%29%2A3%2A4%2Asin%28125%5Eo%29\" = 3*4*0.81915204428 + 3*4*0.81915204428 = 19.65964906 (rounded).  ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );