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If A, B, and C are the interior angles in a triangle, then

If A, B, and C are the interior angles in a triangle, then cos (A + B + C) = -1.  In any triangle, the shortest side is opposite to the smallest angle.  The Law of Sines can be used to solve any triangle given two angles and any side.  The Law of Cosines can be used to solve any triangle given two sides and an angle.  The expression c2 = a2 + b2 – sinθ is true for a triangle ABC if  θ = 90° – C.

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