# SOLUTION: 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

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: 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      Log On

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 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?)Answer by stanbon(57203)   (Show Source): 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?) ------------- Draw the picture and you will see that the longest diagonal is opposite the adjacent angle in the parallelogram, which is 140 degrees. -------------------------- diag^2 = 42^2 + 36^2 - 2^42*36*cos(140) diag = 73.32 ================== Cheers, Stan H.