Lopsided Hexagon

Geometry Level 4

A,B,C,D,E,FA, B, C, D, E, F are 6 consecutive points on the circumference of a circle such that AB=BC=CD=10,DE=EF=FA=22 AB=BC=CD=10, DE=EF=FA=22 . If the radius of the circle is n \sqrt{n}, what is the value of nn?

Details and assumptions

The lengths given are side lengths, not arcs.

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