HMMT 2007 U8
- Guts
- Answer
A circle inscribed in a square,
Has two chords as shown in a pair.
It has radius 2,
And bisects .
The chords' intersection is where?
Answer the question by giving the distance of the point of intersection from the center of the circle.
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\sqrt{2 \sqrt{2} - 2}
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