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
Jim G.
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 "

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