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# In triangle A B C , A B = 6 and B C = 8. Find A C if angle B is 30 degrees.

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Warning, answer isn't pleasant.

Aug 30, 2022

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Find AC:

Hello Guest!

The solution is the law of cosines.

$$b^2=a^2+c^2-2ac\ cos\ \beta\\ b=\sqrt{8^2+6^2-2\cdot 8\cdot 6\cdot cos\ 30^{\circ}}\\ \color{blue}\overline{AC}=b=4.106$$

!

Aug 31, 2022