examday

/TMUA

A student chooses two distinct real numbers $x$ and $y$ with $0<x<y<1$.

The student then attempts to draw a triangle $ABC$ with

Which of the following statements is/are correct?

I: For some choice of $x$ and $y$, there is no such triangle.

II: For some choice of $x$ and $y$, there is exactly one such triangle.

III: For some choice of $x$ and $y$, there are exactly two such triangles.

Note that congruent triangles are considered to be the same.