In triangle abc, ac =12, the measure of angle a = 30, and the measure of angle b = 45. find the area of this triangle. (hint: draw a picture and include the altitude from vertex c to the side ab.)
(a) 18√3
(b) 54√ 3
(c) 18(1 + √ 3)
(d) 54(1 + √ 3)
(e) 12(1 + √ 3)
(f) none of the above