Question 78
Let $ABC$ be a triangle with side lengths $AB=17$, $CA=25$ and $BC=26$. Let $X$ and $Y$ be the intersections of the line through $C$ parallel to $AB$ with the bisectors of $\angle CAB$ and $\angle ABC$, respectively. What is the area of trapezoid $ABXY$?
(A) 816
(B) $338(1+\sqrt2)$
(C) 784
(D) 408
(E) It cannot be determined from the given data.
Supplementary illustration (one configuration):
(A) 816
(B) $338(1+\sqrt2)$
(C) 784
(D) 408
(E) It cannot be determined from the given data.
Supplementary illustration (one configuration):