[ Pythagorean Theorem (direct and inverse).]

In triangle $ABC$, angle $BAC$ is right, the lengths of sides $AB$ and $BC$ are 5 and 6, respectively. Point $K$ divides side $AC$ in the ratio 3:1, counting from point $A$, and $AH$ is the altitude of triangle $ABC$. Is 2 greater, or the ratio of the length of $BK$ to the length of $AH$?
See the given problem.

## Otvet

$B K / A H>2$.