Solve the triangle with the given information:
A= 40°, B= 20°, a= 100m
The Law of Sines
The Attempt at a Solution
This is a AAS triangle. And since I'm given two angles, I can find the third by subtracting the two given angles from 180°.
I now use the Law of Sines to find the unknowns. I start by finding length b.
Next I'll solve for length c, again using the Law of Sines.
a= 100 m
b≈ 53.209 m
c≈ 134.730 m
I think I did this correctly. But I don't know how to check this to see if my solution is correct. In a right triangle, I would add the angles up to see if they're equal to 180°, and use Pythagorean's Theorem to check the legs. However in this case, it's an oblique triangle and I can't use Pythagoeran's Theorem. So how can I check this?