Question

If possible, find the area of the triangle defined by the following:

b = 45, c = 20, a = 71°.

a.) 465.4 square units
b.) 189.1 square units
c.) 425.5 square units
d.) 405.2 square units

I'd really like to know which of these is correct.

Answer 1

Given that the area has two sides and one angle measure given by:
b=45, c=20 and A=71°
The area of the triangle will be given by:
Area=1/2ab sin theta
Area=1/2*45*20*sin 71
Area=425.48 square units
=425.5 square units
The answer is C. 425.5 square units