MathDB
Problems
Contests
International Contests
Cono Sur Olympiad
2003 Cono Sur Olympiad
4
4
Part of
2003 Cono Sur Olympiad
Problems
(1)
Find the area of the triangle
Source: Cono Sur 2003 #4
11/18/2015
In an acute triangle
A
B
C
ABC
A
BC
, the points
H
H
H
,
G
G
G
, and
M
M
M
are located on
B
C
BC
BC
in such a way that
A
H
AH
A
H
,
A
G
AG
A
G
, and
A
M
AM
A
M
are the height, angle bisector, and median of the triangle, respectively. It is known that
H
G
=
G
M
HG=GM
H
G
=
GM
,
A
B
=
10
AB=10
A
B
=
10
, and
A
C
=
14
AC=14
A
C
=
14
. Find the area of triangle
A
B
C
ABC
A
BC
.
geometry
cono sur