# A triangle has sides A, B, and C. Sides A and B are of lengths 3 and 4, respectively, and the angle between A and B is pi/12. What is the length of side C?

Oct 17, 2016

5

#### Explanation:

You can disregard the given angle because 2 sides are already given. Use the Pythagorean Theorem.
${a}^{2} + {b}^{2} = {c}^{2}$
${3}^{2} + {4}^{2} = {c}^{2}$
$9 + 16 = {c}^{2}$
$25 = {c}^{2}$
$\sqrt{25} = {\sqrt{c}}^{2}$
$5 = c$