A triangle has sides A, B, and C. Sides A and B are of lengths $5$ $5$ and $4$ $4$ , respectively, and the angle between A and B is $\frac{11 π}{12}$ $(11pi)/12$ . What is the length of side C?

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Answer 1 · 2018-04-15T09:03:08

8.9

Using $c^{2} = a^{2} + b^{2} - 2 b c$ $c^2=a^2+b^2-2bc$ CosC

$c^{2} = 25 + 16 - 40 cos$ $c^2=25+16-40Cos$ $(\frac{11 π}{12})$ $((11pi)/(12))$

$c^{2} = 41 - 40 cos$ $c^2=41- 40Cos$ $(\frac{11 π}{12})$ $((11pi)/(12))$

$c^{2} = 79.63703305$ $c^2=79.63703305$

$c = 8.923958373$ $c=8.923958373$

A triangle has sides A, B, and C. Sides A and B are of lengths 55 and 44, respectively, and the angle between A and B is 11π12(11pi)/12 . What is the length of side C?