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How do you find an angle of a scalene triangle, if given all the side lengths, but none of the angles?

I’m not given any of the angle measures, but I have all of the lengths of the sides. It’s a scalene triangle, meaning the side lengths are all different. However, it’s not a right triangle, so I can’t use sine/cosine/tangent. Please help!!!!! Thank you so very, very much!

You need the law of cosines. If the sides are of lengths a, b, and c with opposite angles of measures A, B, and C, respectively, then

a^2 = b^2 + c^2 -2bc cos(A)

Note, this requires the convention that angle A is opposite side a, etc.

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