Complete the table by solving the parallelogram shown in the figure in the website link below. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.)

www.webassign.net/larpcalclim2/6-2-021.gif

a=22
b=39
c=
d=
θ= °
ϕ=122°

3 answers

Taking angle ϕ, the diagonal opposite ϕ is
d^2 = 39^2 + 22^2 - 2*39*22*cos122° = 2914
d = 54
Now we know that ϕ and θ are supplementary, so
θ = 58°
Now use the law of cosines to find the other diagonal, if that's what you need. You can also find the altitude: 22 sinθ
hey oobleck thanks, but i still don't how to get c
I showed you how to get the long diagonal.
I also explained how to find the short diagonal and the altitude.
Surely you can't want anything else!