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?

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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?

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Answer 1 · 2016-03-06T03:18:31

#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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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

Explanation:

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