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Solve for the missing length and the other two angles in the triangle below.

 Apr 16, 2020
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To find AC, use the Law of Cosines:  AC2 =  52 + 82 - 2·5·8·cos(20o)

 

Then, you can find the size of angle(C) --

 

To find angle(C), use the Law of Sines:  sin(C) / 5  =  sin(20o) / AC               

 

Then, you can find the size of angle(A) by subtracting angles B and C from 180o.

 

[Warning!  Don't use the Law of Sines to find the largest angle in a triangle -- the answer that your calculator gives you may not be the correct answer!]

 Apr 16, 2020

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