Question: In triangle ABC, AB=4, AC=5, and the radius R of the circumscribed circle is equal to √7. Find all possible values of the area of triangle ABC.
Through using the sine rule, i found the angle of B to be approximately $70.89339$, the angle of C to be approximately $49.10661$ and the angle of A to be $60$. Using the cosine law, I found the missing side length BC to be $√21$. Using Heron's law, I then found the area to be $5√3$.
However, this question requires more than one area. I am confused as to how to obtain the second area?
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