A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 4, respectively. The angle between A and C is (3pi)/8 and the angle between B and C is (pi)/12. What is the area of the triangle?

1 Answer
Bdub
Mar 6, 2016

angle C = pi-((3pi)/8 + pi/12) = (13pi)/12 , Area = 1/2 ab sin C = 1/2 (7)(4)sin( (13pi)/24) ~~13.88 unit ^2

Explanation:

Start by adding the two given angles then subtract it from pi to get the measure of angle C. Then substitute in the lengths for sides a and b and the measure of angle C to the area formula and calculate.

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