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

Question

a = ____

b = 24

c = 53

d = 37

𝜃 = ____ °

𝜑 = ____ °

Answer 1

Label the diagram with the lengths of one-half of c and d.

One half of c is 26.5, one half of d is 18.5.

Use 26.5, 18.5, 24, and Law of Cosines to determine size of angle opposite b.

Determine the size of the angle opposite a (its the supplement of the above)

Use 26.5, 18.5, the angle from above and the Law of Cosines to determine a

Use a, b, c, and Law of Cosines to determine φ

Use a, b, d, and Law of Cosines to determine θ.

At some point you should start doing some of this on your own.