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
Jim G.
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

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