In a certain polygon, if a side has a length that is a prime number, the interior angle opposite that side must be obtuse. If an interior angle is obtuse, the diagonal that connects the vertices of that angle has a length greater than 15 centimeters. The lengths of the sides of a specific polygon of this type are 3, 5, 7, 8, and 11 centimeters.
Given the information above, which of the following MUST be true about this specific polygon?
All diagonals in the polygon are longer than 15 centimeters.
The polygon has at least four diagonals with a length greater than 15 centimeters.
The side with length 8 cm is opposite an acute angle.
No conclusion can be drawn about the diagonals from the given information.
