1954 AHSME Problem 29

If the ratio of the legs of a right triangle is 1: 2, then the ratio of the corresponding segments of the hypotenuse made by a perpendicular upon it from the vertex is:

\textbf{(A)}\ 1: 4\qquad\textbf{(B)}\ 1:\sqrt{2}\qquad\textbf{(C)}\ 1: 2\qquad\textbf{(D)}\ 1:\sqrt{5}\qquad\textbf{(E)}\ 1: 5

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.