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A point on the hypotenuse of a triangle ...

A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show that the maximum length of the hypotenuse is `(a^(2/3)+b^(2/3))^(3/2)`.

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The correct Answer is:
`(a^(2//3)+b^(2//3))^(3//2).`
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