數學問題......10 points

2007-08-28 10:45 pm
The area of a parallelogram is 80 (c㎡) .
Two of the sides are of legths 6 (cm) and 15 (cm).
Find the angles of the parallelogram correct to the nearest 0.1 ° .

回答 (2)

2007-08-28 10:56 pm
✔ 最佳答案
let the points of the parallelogram be ABCD respectively
cut the parallelogram into two triangle
each triangle's area is 80/2 = 40c㎡
ABC is an acute angle
area of triangle = 1/2 (15) (6) (sin ABC)
40 = 45 sin ABC
ABC = 62.7 °
the another angle = 180-62.7=117.3°
the angles of the parallelogram are 62.7° and 117.3°
參考: myself
2007-08-29 3:29 am
Area of a parallelogram = ab sinx
ab sinx=6x15 sinx=80
90 sinx=80
sin x=8/9
x=sin^-1 8/9
x=62.7
Therefore,
the angles of the parallelogram are 62.7 and 117.3.


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