The 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 \equal{} 1 : 3, then the ratio of r to s is:
<spanclass=′latex−bold′>(A)</span>1:3<spanclass=′latex−bold′>(B)</span>1:9<spanclass=′latex−bold′>(C)</span>1:10<spanclass=′latex−bold′>(D)</span>3:10<spanclass=′latex−bold′>(E)</span>1:10