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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 side 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)))^((3)/(2))`.
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -MISCELANEOUS EXERCISE - 6
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