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The sides of a parallelogram are 40 and 70 feet long,and the smaller angle has a measure of 36.Find the length of the longer diagonal to the nearest whole number

User Rcorrie
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1 Answer

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Answer:

105 feet.

Explanation:

The longer diagonal is opposite the longer angle in the parallelogram.

The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles are supplementary).

So, by the law of cosines:

x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140 where x = the diagonal.

x^2 = 11030.50

x = 105.03 feet.

User Guanlun
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