MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece JBMO TST
2006 Greece JBMO TST
3
3
Part of
2006 Greece JBMO TST
Problems
(1)
find the angle , ratio of cevians related to orthocenter given
Source: Greece JBMO TST 2006
5/24/2019
Find the angle
∠
A
\angle A
∠
A
of a triangle
A
B
C
ABC
A
BC
, when we know it's altitudes
B
D
BD
B
D
and
C
E
CE
CE
intersect in an interior point
H
H
H
of the triangle and
B
H
=
2
H
D
BH=2HD
B
H
=
2
HD
and
C
H
=
H
E
CH=HE
C
H
=
H
E
.
ratio
geometry
orthocenter
Angle Chasing