Let the angles of a triangle be 𝛼, 𝛽, and 𝛾, with opposite sides of length a, b, and c, respectively. Use the Law of Cosines and the Law of Sines to find the remaining parts of the triangle.

Question

(Round your answers to one decimal place.)

𝛽 = 54.5°;  a = 8;  c = 11.5

Find:

b

=

𝛼

=

𝛾

=

Answer 1

I hope this helps!

Answer 2

Do you know the law of cosines?

In this case b² = a² + c² - 2 ac cos β

Just plug in the values and solve for b.

Then you will have all 3 sides and can use the law of sines to find the angles.

This problem is essentially straight arithmetic!