Question 19The sides of a right triangle are $a$ and $b$ and the hypotenuse is $c.$ A perpendicular from the vertex divides $c$ into segments $r$ and $s,$ adjacent respectively to $a$ and $b.$ If $a:b=1:3,$ then the ratio of $r$ to $s$ is:$1:3$$1:9$$1:10$$3:10$$1:\sqrt{10}$