MathDB

Function from triangles into real numbers

Source: XIII Ibero American Olympiad For University Students

July 22, 2011

functiontrigonometrygeometry proposedgeometry

Problem Statement

Let

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}

, where

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.