A circle is inscribed in a right angle. A chord connecting the points of tangency is equal to 2. Find the distance from the center of the circle to this chord.

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The diagonals of a square are equal.

## Solution

The quadrilateral formed by the tangents and radii drawn to the points of tangency is a square.

The desired segment is half the diagonal of this square, i.e., 1.

![](https://cdn.mathpix.com/cropped/2024_05_06_845c09db4774ba28be39g-23.jpg?height=426&width=426&top_left_y=2102&top_left_x=816)

## Answer

1

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