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Part of 2010 IberoAmerican Olympiad For University Students

Problems(1)

Function from triangles into real numbers

Source: XIII Ibero American Olympiad For University Students

f:S\to\mathbb{R}

be the function from the set of all right triangles into the set of real numbers, defined by

f(\Delta ABC)=\frac{h}{r}

h

is the height with respect to the hypotenuse and

r

is the inscribed circle's radius. Find the image,

Im(f)

, of the function.

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