In a triangle ABC (see the figure), D is on BC and E on
AC such that AB = 6, BD = 4, DC = 5, and AD = AE. Prove that (1)
angle BAD = angle C; (2) angle ABD = 2 angle CDE, (3) AD = 2CE.
ELEMENTARY GEOMETRY ONLY PLS This entry contributed by Sumith Peiris.
