# Trigonometry! #96

Geometry Level 4

In a triangle, the lengths of the two larger sides are $$10$$ and $$9$$ respectively. If the angles are in A.P., then the length of the third side can be

1. $$5-\sqrt{6}$$

2. $$3\sqrt{3}$$

3. $$5$$

4. $$5+\sqrt{6}$$

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

This problem is part of the set Trigonometry.

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