Finding a triangles angles from its area + 2 sides

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To find the angles of a triangle with an area of 21 cm² and sides measuring 9 cm and 14 cm, the area formula is applied: Area = 1/2 * a * b * Sin(C). By substituting the values into the equation, Sin(C) is calculated to be 1/3, leading to possible angle measures of approximately 19.5 degrees or 160.5 degrees. The calculations appear to be correct based on the provided information. This method effectively determines the angles formed by the given sides.
rought
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Homework Statement



A triangle had area of 21 cm² and two of its sides are 9 cm and 14cm long.
Find the possible measures of the angle formed by these sides?


Homework Equations



Area= 1/2abSin(C)

The Attempt at a Solution



1/2 (9)(14)Sin C = 21 --> Sin C = (1/3)

approx 19.5 or 160.5


I'm just not sure if i did it right does this seem correct?
 
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rought said:
I'm just not sure if i did it right does this seem correct?
Seems correct.
 

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