Baba B.

asked • 12/09/22

Given a triangle with angle A = 99 degrees and sides a = 40 and b = 19. Find side c.

c =

Brenda D.

tutor
Did you draw a diagram, that would be useful, since you have Angle A, side a and side b you should be able to find Angle B. Since you have a triangle that totals 180 degrees once you have Angle B then Angle C is 180-(A+B) Are you familiar with the law of sines, a/sinA = b/sinB=c/sinC. If you find of the sine of angle B you can find the angle, since you have a triangle you would subtract A + B from 180 to find angle C, once you have angle C, you can back to the law of sines to find side c. I would suggest you look up the Law of Sines to see if or how it applies to your problem.
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12/09/22

1 Expert Answer

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Cary M. answered • 12/09/22

Tutor
5 (5)

Patient and Experienced Tutor Alg 1/2, Geo, PreCalc
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Hi Baba,

If you draw this triangle and properly label it, you will be able to use the law of sines to solve it. Be careful, because you will be solving first for an angle measure. When you do that you should check to make sure that there aren't two triangles possible.

Try setting it up and then return here with your progress.



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Baba B.

I've set it up, however, I'm not so sure how to find side c. From the Law of Sines videos I've watched, you must find angle c to find side c. But, you can't find angle c without side c... That's my point of confusion
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12/09/22

Cary M.

tutor
Ok, first use the law of sines to find Angle B, then use the fact that the three angles of the triangle must have a sum of 180 to find angle C. Then you can use the Law of Sines to get side c.
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12/09/22

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