Mathematics

The key here is recognizing that you have two angles and the side between them—this is the SAS (Side-Angle-Side) setup. Rather than finding the third angle or using the law of sines, go straight to the area formula $A = \frac{1}{2}ab\sin C$, where $a$ and $b$ are two sides and $C$ is the included angle. You'll need to find one of the unknown sides using the law of sines, then apply the area formula with the given included side and one of the given angles.

The key here is recognizing that you have two angles and the side between them—this is the SAS (Side-Angle-Side) setup. Rather than finding the third angle or using the law of sines, go straight to the area formula $A = \frac{1}{2}ab\sin C$, where $a$ and $b$ are two sides and $C$ is the included angle. You'll need to find one of the unknown sides using the law of sines, then apply the area formula with the given included side and one of the given angles.