Question

In a right angled triangle $BC=5,AB=4,AC=3$. Let $S$ be the circum circle, let $S_1$ be the circle touching both sides $AB$ and $AC$ and circle $S$ internally. Let $S_2$ be the circle touching the sides $AB$ and $AC$ of triangle $ABC$, and touching the circle $S$ externally if $r_1,r_2$ are radii of circles $S_1$ and $S_2$ respectively, then $\sqrt{1+r_1{r}_2}$ is

Answer 1

Answer: 5

Correct answer is (e)