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State the law of cosines for $\triangle ABC$ to find side $c$ when sides $a, b$ and included angle $C$ are known.

Study flashcard from the deck CSAT (Suneung) essentials: original practice.

Answer

$c^2 = a^2 + b^2 - 2ab\cos C$.

Explanation

When $C = 90^\circ$, $\cos 90^\circ = 0$, reducing the law of cosines to the Pythagorean theorem $c^2 = a^2 + b^2$.

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