Question

The sides of a parallelogram have lengths of 15.6 cm and 33 cm. if one of the angles is 42.6 degrees, find (a) the length of the shorter diagonal and (b) the area of the parallelogram

Answer 1

yo

Answer 2

Are you learning or have you learned trigonometry?

Answer 3

i have learned but its so difficult

Answer 4

were about to graduate and i cant graduate if i cant solve this problem

Answer 5

This is the parallelogram. Now let' look at the diagonal.

Answer 6

is that the shorter diagonal?

Answer 7

Yes. We are looking for x.

Answer 8

oh ok

Answer 9

what now?

Answer 10

We have a triangle with 2 sides and the included angle given.
Since we don't have a side and the opposite angle given, we can't use the law of sines, so we need the law of cosines to find x.

Answer 11

\(a^2 = b^2 + c^2 - 2bc \cos A\)

Answer 12

Let's relabel the parallelogram, so we can read the dimensions we have and we need more easily.