A triangle has sides A, B, and C. Sides A and B have lengths of 5 and 12, respectively. The angle between A and C is (11pi)/24 and the angle between B and C is (pi)/8. What is the area of the triangle?

1 Answer
Jim G.
Feb 21, 2016

≈ 29 square units

Explanation:

The area of the triangle can be found by using 1/2ABsintheta
where theta" is the angle between A and B "

The sum of the 3 angles in a triangle is pi

The angle between A and B = pi - ((11pi)/24 + pi/8 )

= pi - (14pi)/24 = (5pi)/12

area = 1/2xx5xx12xxsin((5pi)/12) ≈ 29" square units"

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