You have all the angles and one side length, also its not a right triangle.
-
Law of sines.
a/sin(a) = b/sin(b) = c/sin(c)
a/sin(a) = b/sin(b) = c/sin(c)
-
The sine rule (sometimes called the law of sines), says:
a/Sin(A) = b/sin(B) = c/Sin(C).
..which means the ratio of the length of a side and the sine of the angle opposite it is the same for all the sides and angles in a triangle.
So, say you had side length a = 10, and the angle opposite that side, A is 30 degrees
10/sin(30) = b/Sin(B)
You know angle B, so side b is
b = 10/sin(30) * sin(B)
same for the other
c= 10/sin(30) * sin(C)
a/Sin(A) = b/sin(B) = c/Sin(C).
..which means the ratio of the length of a side and the sine of the angle opposite it is the same for all the sides and angles in a triangle.
So, say you had side length a = 10, and the angle opposite that side, A is 30 degrees
10/sin(30) = b/Sin(B)
You know angle B, so side b is
b = 10/sin(30) * sin(B)
same for the other
c= 10/sin(30) * sin(C)