The equation $x^3 - 4x^2 + 5x - \frac{19}{10} = 0$ has real roots $r,$ $s,$ and $t.$  Find the area of the triangle with sides $r,$ $s,$ and $t.$
Question:
The equation $x^3 - 4x^2 + 5x - \frac{19}{10} = 0$ has real roots $r,$ $s,$ and $t.$  Find the area of the triangle with sides $r,$ $s,$ and $t.$
Answer:
Let's think step by step.

user
\frac{\sqrt{5}}{5}
The equation $x^3 - 4x^2 + 5x - \frac{19}{10} = 0$ has real roots $r,$ $s,$ and $t.$  Find the area of the triangle with sides $r,$ $s,$ and $t.$
train