A triangle has sides A, B, and C. Sides A and B are of lengths $7$ $7$ and $2$ $2$ , respectively, and the angle between A and B is $\frac{π}{3}$ $pi/3$ . What is the length of side C?

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Answer 1 · 2018-02-26T14:29:49

Length of side $c = 5.362$ $color(brown)(c = 5.362$

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Applying law of Cosines,

$c = \sqrt{a^{2} + b^{2} - (2 \cdot 7 \cdot 2 cos (\frac{π}{3})) = 5.362}$ $c = sqrt(a^2 + b^2 - (2 * 7 * 2 cos (pi/3) ) = 5.362$

A triangle has sides A, B, and C. Sides A and B are of lengths 777 and 222, respectively, and the angle between A and B is pi/3π3pi/3. What is the length of side C?