Small Cyclic Quadrilateral
has the smallest perimeter among all cyclic quadrilaterals with integer side lengths and diagonals. Let be its longest side. There is a semicircle with diameter which divides all the smaller sides into segments all of which have integer lengths.
Find the product of all of these segment lengths.
The answer is 1.
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1 solution
Quadrilateral's sides have lengths: 4 , 2 , 3 , 2 , diagonals have lengths 4 , 4 . Semicircle divides smaller sides into segments of length 1 .