SOLUTION: This problem refers to triangle ABC. If A = 57°, B = 53°, and c = 18 cm, find C and then find a. (Round your answers to the nearest whole number.)

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Question 1169490: This problem refers to triangle ABC.
If A = 57°, B = 53°, and c = 18 cm, find C and then find a. (Round your answers to the nearest whole number.)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2BC=57%2B53%2BC=180; and use Law Of Sines to find a and b.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

This problem refers to triangle ABC.
If A = 57°, B = 53°, and c = 18 cm, find C and then find a. (Round your answers to the nearest whole number.)
This has ABSOLUTELY NOTHING to do with the side "b," so IGNORE the other person's suggestion to find "b."

Now, since ∡s A and B were given, then it's obvious that ∡ C is 70o (180 - 57° - 53°)

Using the Law of Sines, we now get: 

a * sin 70° = 18 * sin 57° ------- Cross-multiplying