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A point on the hypotenuse of a right - a...

A point on the hypotenuse of a right - angled triangle is at distance a and b from 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:
`=(a^((2)/(3))+b^((2)/(3)))^((2)/(3))`
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