Problem

1991 AIME Problem 14

A hexagon is inscribed in a circle. Five of the sides have length 81 and the sixth, denoted by \overline{AB}, has length 31. Find the sum of the lengths of the three diagonals that can be drawn from A_{}^{}.

Leading zeroes must be inputted, so if your answer is 34, then input 034


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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