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 dia
gonal to the nearest whole number
1 answer:
Answer:
105 feet.
Step-by-step 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.
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