document.write( "Question 455481: The lengths of two adjacent sides of a parallelogram are 42cm and 36cm. An angle of the parallelogram is 40degrees. Find the measure of the longest diagonal to the nearest tenth of a centimeter. (do you use the law of cosine?) \n" ); document.write( "
Algebra.Com's Answer #312701 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The lengths of two adjacent sides of a parallelogram are 42cm and 36cm. An angle of the parallelogram is 40 degrees. Find the measure of the longest diagonal to the nearest tenth of a centimeter. (do you use the law of cosines?) \n" ); document.write( "------------- \n" ); document.write( "Draw the picture and you will see that the longest diagonal is opposite \n" ); document.write( "the adjacent angle in the parallelogram, which is 140 degrees. \n" ); document.write( "--------------------------\r \n" ); document.write( "\n" ); document.write( "diag^2 = 42^2 + 36^2 - 2^42*36*cos(140) \n" ); document.write( "diag = 73.32 \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |