SOLUTION: What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. units� A triangle with vertices labe

Question 1085099: What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

units�
A triangle with vertices labeled as A, B, and C. Side B C is the base and the top vertex is A. Side A C is labeled as 15. Side A B is labeled as 12.5. Angle C A B is labeled as 77 degrees.
Found 3 solutions by Fombitz, ikleyn, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
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Use the law of cosines,

So then using the law of sines,

So then,

and

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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The area of any and each triangle is half of the product of the measures of two its sides and the sine of the angle between these sides.

Area = .

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

units�
A triangle with vertices labeled as A, B, and C. Side B C is the base and the top vertex is A. Side A C is labeled as 15. Side A B is labeled as 12.5. Angle C A B is labeled as 77 degrees.

As you're given a triangle with 2 sides and an INCLUDED angle, all you have to do is use the formula for the
area of this type of triangle: , where: b = AC, and c = AB.
That's all! Nothing else needs to be done!
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