Question

I figured out the first triangle, but how do I find the second?---> Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles.

C = 67°, a = 21, c = 20

Answer 1

Have you drawn a pic yet?

Answer 2

Hint: if you obtain something such as sin x = 1/2, there'd be more than just 1 solution.

Answer 3

Do you recall law of sines?

Answer 4

Yes! I found the first triangle: A = 75.1°, B = 37.9°, b = 13.3. But how would I find the second?

Answer 5

Just apply the sine rule again.

Answer 6

How would I get sin x= 1/2? @mathmale

Answer 7

Would you please type out your result for sin A?

sin A = ????

Then we'll continue this discussion.

Answer 8

A=75.13 sinA=.97

Answer 9

Solve for sin A. Oh...I see you already have sin A = 0.97.

My point is that this equation has TWO solutions, not just one.
Your first solution, I'd bet, was an angle A in the first quadrant.

Note that sin A = 0.97 also has a solution in the second quadrant.

Here's where a sketch just might help.

Answer 10

I don't get it.. :(

Answer 11

I don't think about the quadrants when I do these.. I just used the Law of Sines thing..

Answer 12

Hold. @austinL : would you care to sketch a diagram that will show the 2nd possible angle A whose sine is 0.97? If not, I'll do it myself. Thanks.

Answer 13

The whole point here is to realize that an equation such as sin A = 0.97 has TWO solutions, not just one.