Question

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

Answer 1

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°`