A triangle has sides A, B, and C. The angle between sides A and B is #pi/12#. If side C has a length of #12 # and the angle between sides B and C is #pi/12#, what is the length of side A?
1 Answer
Feb 11, 2016
12
Explanation:
using the 3 ratios that are true for any triangle and referred to as the
#color(blue)(" sine rule ") #
#a/sinA = b/sinB = c/sinC # where a , b and c , represent the 3 sides and A , B and C the angles opposite the 3 sides respectively.
require to use only 2 of the ratios in this question.
# A/sin(pi/12) = C/sin(pi/12) # since the denominators are equal then A = C = 12
