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CentroAmerican
2002 CentroAmerican
4
4
Part of
2002 CentroAmerican
Problems
(1)
Triangles
Source: Central American Olympiad 2002, problem 4
12/30/2009
Let
A
B
C
ABC
A
BC
be a triangle,
D
D
D
be the midpoint of
B
C
BC
BC
,
E
E
E
be a point on segment
A
C
AC
A
C
such that BE\equal{}2AD and
F
F
F
is the intersection point of
A
D
AD
A
D
with
B
E
BE
BE
. If \angle DAC\equal{}60^{\circ}, find the measure of the angle
F
E
A
FEA
FE
A
.
geometry
parallelogram
trapezoid