Question 169
Find the ratio of the radius of $\omega_{i+1}$ to the radius of $\omega_{i}$, where $\omega_{1}$ is the incircle of an isosceles triangle $T$ with base $10$ and height $12$, and $\omega_{i+1}$ is tangent to $\omega_{i}$ and both legs of the triangle for $i \gt 1$.