A geometry problem by A Former Brilliant Member
Geometry
Level
3
We can always have quadrilaterals with given side lengths which are cyclic
True or false ?
True
False
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1 solution
As long as it's actually possible to make a quadrilateral with the given sidelengths (we can't make a quadrilateral with sidelengths like 1 , 1 , 1 , 1 0 0 0 for obvious reasons), the answer is true . Start with a big enough circle, then close it up: