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

Question

3 years ago

8

gonal to the nearest whole number

1 answer:

Mumz [18] · Answer 1 · 2022-06-15T11:06:20+03:00

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.