A point on the hypotenuse of a triangle is at distance ' \( a \) ' ...

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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
\[
\left(a^{2 / 3}+b^{2 / 3}\right)^{3 / 2}
\]
W
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