The given points are (2,9) and (5,4).
We use the distance formula.
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Where,
[tex]\begin{gathered} x_1=2 \\ x_2=5 \\ y_1=9 \\ y_2=4 \end{gathered}[/tex]We replace the coordinates in the formula.
[tex]\begin{gathered} d=\sqrt[]{(5-2)^2+(4-9)^2} \\ d=\sqrt[]{(3)^2+(-5)^2} \\ d=\sqrt[]{9+25}=\sqrt[]{34}\approx5.8 \end{gathered}[/tex]