A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/2# and the angle between sides B and C is #pi/12#. If side B has a length of 1, what is the area of the triangle?
1 Answer
Feb 26, 2016
≈ 0.134 square units
Explanation:
Since the angle between A and B is
# pi/2 " this is a right triangle "#
with side C being the hypotenuse.Thus area of triangle
#= 1/2 AB# Side B is known , require to find side A. Using standard trig. ratios.
#tan(pi/12) = A/B= A/1 rArr A = 1xxtan(pi/12)# area
# = 1/2AB = 1/2 xx1xxtan(pi/12) ≈ 0.134 " square units "#
