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Omni-MATH / Let (x,y) be a point in the cartesian plane, x,y>0. Find a formula in terms of x and y for the minimal area of a right triangle with hypotenuse passing through (x,y) and legs conta…

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problem

Let (x,y)(x, y) be a point in the cartesian plane, x,y>0x, y>0. Find a formula in terms of xx and yy for the minimal area of a right triangle with hypotenuse passing through (x,y)(x, y) and legs contained in the xx and yy axes.
Plain-text mathematical notation (without MathML)
Let (x,y) be a point in the cartesian plane, x,y>0. Find a formula in terms of x and y for the minimal area of a right triangle with hypotenuse passing through (x,y) and legs contained in the x and y axes.
Original LaTeX notation
Let $(x, y)$ be a point in the cartesian plane, $x, y>0$. Find a formula in terms of $x$ and $y$ for the minimal area of a right triangle with hypotenuse passing through $(x, y)$ and legs contained in the $x$ and $y$ axes.

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