Star Tau Ceti: Understanding the Rising Interest Behind the Species

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So, it is a right triangle with legs $ 10 $ and $ 24 $, and hypotenuse $ 26 $.
Question: A linguist modeling language evolution with geometric representations uses a right triangle where the hypotenuse is $ z $ and the inradius is $ c $. What is the ratio of the area of the incircle to the area of the triangle?
Let the triangle have legs $ a $, $ b $, and hypotenuse $ z $.

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