Ononot — A circle K is inscribed in a right triangle with legs a=15 a

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Euclidean 2Dhard

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A circle $K$ is inscribed in a right triangle with legs $a=15$ and $b=20$ . A line segment is drawn through the center of $K$ parallel to the leg $a$ , intersecting the hypotenuse at point $P$ . What is the ratio in which $P$ divides the hypotenuse?