Non-right-triangle trigonometry
The Law of Sines (a/sin A = b/sin B = c/sin C) and the Law of Cosines (c^2 = a^2 + b^2 - 2ab cos C) let you find missing sides and angles in any triangle, not just right triangles. Use the Law of Sines when you know an angle and its opposite side, and the Law of Cosines when you know all three sides or two sides and the angle between them: for a triangle with sides a=5, b=7, and an included angle C=60 degrees, the Law of Cosines gives c^2 = 25 + 49 - 2(5)(7)cos(60) = 74 - 35 = 39, so c is about 6.24; together they also give a formula for a triangle's area using two sides and the included angle.
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