Given b = 12, c = 15 and a = 60° in triangle abc, use the law of cosines to solve for a. fill in the blank(s) to complete each step. if applicable, be sure to enter all decimal numbers with a zero in the ones place. round your final answer to the nearest hundredth.

13.75

Step-by-step explanation:

We have been given that side b = 12, c = 15 and A = 60° in triangle ABC. We are asked to find the measure of a using law of cosines.

, where, a, b and c are length of sides of triangle and A is opposite angle to side A.

Upon substituting our given values in above formula we will get,

Now, we will take square root of both sides of our given equation.

Therefore, the length of a is 13.75.