79.4k views
3 votes
Solve for the remaining angles and side of the triangle described below. Round to the nearest thousandth:C = 60°, b = 3,a = 4AnswerHow to enter your answer (opens in new window) 2 Points

Solve for the remaining angles and side of the triangle described below. Round to-example-1
User Xanido
by
7.5k points

1 Answer

7 votes

Step-by-step explanation

Let's first make a sketch of the triangle:

We can find the measure of c with the law of cosines:


c=√(a^2+b^2-2ab\cdot cos(C))
c=\sqrt{9+16-24\cdot(1)/(2)}
c=√(13)

For B and A we can use the sine law:


(sin(B))/(3)=(sin(60))/(√(13))
B=73.898°

And


(sin(A))/(4)=(sin(60))/(√(13))
A=46.102°

Answer


c=√(13)
B=73.898°
A=46.102°

Solve for the remaining angles and side of the triangle described below. Round to-example-1
User Whyhankee
by
6.8k points