Question

Three numbers A, B, C are in ratio a: b: c if the following proportion is true: (A/a)=(B/b)=(C/c). If the angles of a triangle are in ratio 3: 4: 5, find the ratio of the corresponding sides. (Hint: Use the Law of the Sines.)

Answer 1

since the angles of a triangle sum to 180, 180/(3+4+5) = 15
45/a = 60/b = 75/c