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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 minimum length of the hypotenuse is `(a^(2//3) + b^(2//3))^(3//2)`.

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The correct Answer is:
The minimum length of the hypotenuse is `(a^(2//3) + b^(2//3))^(3//2)`.
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