Trigonometry! #87

Geometry Level 4

There exists a triangle satisfying the conditions

1. $$b\sin A = a, A<\frac{\pi}{2}$$

2. $$b\sin A > a, A>\frac{\pi}{2}$$

3. $$b\sin A > a, A<\frac{\pi}{2}$$

4. $$b\sin A < a, A<\frac{\pi}{2}, b>a$$

5. $$b\sin A < a, A>\frac{\pi}{2}, b=a$$

Note: More than one option is correct. Enter the sum of the serial numbers of the correct options.

This problem is part of the set Trigonometry.

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