Can someone tell me if i did this right? 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.

a=13.74 units

Step-by-step explanation:

Given are two sides and angle of a triangle ABC

use cosine formula for triangles

Now we got the square of the third side

Take square root and round off to two decimals to get exact value of a

a =13.74 units

Note: In a triangle, if 3 independent dimensions are known we can find out all missing sides and angles using sine formula or cosine formula