Question 918675: Find the largest possible area of triangle ABC if angle A =30 degrees, b=12 and a=8. Assume that "a" represents the length of the side of the triangle opposite angle A, etc. Give your answer rounded to four significant digits.
Answer: 47.05
Answer by MathTherapy(10555)   (Show Source):
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Find the largest possible area of triangle ABC if angle A =30 degrees, b=12 and a=8. Assume that "a" represents the length of the side of the triangle opposite angle A, etc. Give your answer rounded to four significant digits.
Answer: 47.05
Use law of sines ( ) to determine ∠B
Use ∠B and ∠A to determine ∠C (angles of a triangle are supplementary)
Use ∠C to determine the area, using the area formula for a non-right triangle: 
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