Question

complete the table by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d.)

a                     b                   c                 d                 θ                   ⌀

5                     8                                                        45^o

Answer 1

Step 1:

The two sides of the parallelogram are .

Solve , by using cosine rule.

Step 2 :

From the properties of parallelogram, the two angles shown added together equals to 180 degrees.

So if one is 45 degrees, the other is 135 degrees.

Step 3 :

Solve , by using cosine rule.

The values of .

Solution :

The values of .