Determine the radius of the circle knowing that...

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I have such a problem: determine the radius of a circle in which you know that two chords of lengths $9$ and $17$ intersect in a point, and that the distance between the middle points of these chords is $5$. enter image description here

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You can take the triangle with side lengths 9, 10, 17 and its circumcircle. Then you have a possible solution. It is not unique, though.