Question: Consider the right triangle with vertices (0, 0), (0, b), and (a, 0), where a > 0 and b > 0. Show that the average

Consider the right triangle with vertices (0, 0), (0, b), and (a, 0), where a > 0 and b > 0. Show that the average vertical distance from points on the x-axis to the hypotenuse is b/2, for all a > 0.

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