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Solution: The diagonal of the rectangle is the hypotenuse of a right triangle with legs 5 cm and 12 cm. Using the Pythagorean theorem:

Question: An online course student models a right triangle with hypotenuse length $z$ and inradius $c$. What is the ratio of the area of the incircle to the area of the triangle, expressed in terms of $c$ and $z$?

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