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

Guest Apr 16, 2020

#1**+1 **

To find AC, use the Law of Cosines: AC^{2} = 5^{2} + 8^{2} - 2·5·8·cos(20^{o})

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

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

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

[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!]

geno3141 Apr 16, 2020