1952 AHSME Problem 29

In a circle of radius 5 units, CD and AB are perpendicular diameters. A chord cutting CH cutting AB at K is 8 units long. The diameter AB is divided into two segments whose dimensions are:

\textbf{(A)}\ 1.25, 8.75 \qquad \textbf{(B)}\ 2.75, 7.25\qquad \textbf{(C)}\ 2,8 \qquad \textbf{(D)} \ 4,6 \qquad \textbf{(E)} \text{None of these}

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