Question 28
Let $ABC$ be an isosceles triangle such that $AC = BC = 1$ and $AB = 2x$, $x \gt 0$.
a) Express the inradius $r$ of $\triangle ABC$ as a function of $x$.
b) Find the maximum possible value of $r$.
a) Express the inradius $r$ of $\triangle ABC$ as a function of $x$.
b) Find the maximum possible value of $r$.