A triangle has sides A, B, and C. The angle between sides A and B is pi/3. If side C has a length of 24 and the angle between sides B and C is pi/12, what is the length of side A?
1 Answer
Jan 18, 2017
6.00
Explanation:
Length c = 24, angle C = π/3. Angle A = π/12 (calculations in radians)
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin(π/12) = 24/sin(π/3)
a = 24/sin(π/3) * sin(π/12) ; a = 22.9 * 0.262 = 6.00s
We can similarly then find the length of b to be 42 (the angle of B must be