trig homework help

Question

A parallelogram has sides of lengths 6 and 9, and one angle is 33°.

What is the length of the smaller diagonal? 

length =  units

What is the length of the longer diagonal? 

length =  units

Answer 1

Let a = 6 units

b = 9 unit

Angle A = 33°

Apply cosine rule to find the smaller diagonal opposite angle A.

Let p = smaller diagonal

p = √(a² + b² - 2ab cosA°)

p = √(6² + 9² - 2.6.9 cos33°)

p = 5.14 units