# A triangle has sides A, B, and C. Sides A and B are of lengths 7 and 3, respectively, and the angle between A and B is pi/12. What is the length of side C?

Here the side A=7 ; B=3 and the angle c between A and B. $\angle c = \left(\frac{180}{12}\right) = {15}^{0}$ The side C= sqrt(A^2+B^2-2*A*B*cosc or $C = \sqrt{49 + 9 - 2 \cdot 7 \cdot 3 \cdot .966} = \sqrt{58 - 40.57} = 4.175$ [Answer]