pizer@ecsvax.UUCP (07/13/84)
I wasn't going to post a problem tonite, but since I haven't solved this one
yet, it will be more of challenge for myself, sort of a race against time.
Since it is a multiple choice question, the answers are listed below. DON'T
GUESS! If you do come up with an answer, and then mail it to me, make sure
you label it Geometry IV solution, so I don't cheat accidently. Here it is:
Triangle ABC (scalene) has area 10. Points D, E, and F, all distinct from
A, B and C, are on sides AB,BC and CA respectively, and AD=2, DB=3. If
triangle ABE and quadrilateral DBEF have equal areas, then that area is
(A) 4 (B) 5 (C) 6 (D) 5/3 sqrt(10) (E) not uniquely determined
HINT: National Math Exam questions rarely end up being not uniquely
determined (that doesn't mean it isn't, just that they rarely are)
Good luck!
Billy Pizer
North Carolina School of Science and Mathematics
({decvax,akgua,etc...}!mcnc!ecsvax!pizer)