How do you solve the triangle of A=76^circ, a=18, b=20?

1 Answer
Jan 11, 2017

There is no solution

Explanation:

We attempt to use the law of sines to solve the triangle.
The law states:
a/sin(A) = b/sin(B) = c/sin(C)

18/sin(76) = 20/sin(B)

20*sin(76) = 18*sin(B)

20/18 * sin(76) = sin(B)

arcsin(20/18 * sin(76)) = B

B = arcsin(1.078)

B = error

Therefore, there is no solution.

https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.925859.html

https://www.khanacademy.org/math/geometry-home/right-triangles-topic/law-of-sines-geo/v/law-of-sines