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Oral Moscow Geometry Olympiad
2003 Oral Moscow Geometry Olympiad
2
2
Part of
2003 Oral Moscow Geometry Olympiad
Problems
(1)
ratio chasing, <ABC = 90^o , <BAC =<CAD, AC = AD, DH altitude
Source: 2003 Oral Moscow Geometry Olympiad grade 9 p2
10/26/2020
In a convex quadrilateral
A
B
C
D
ABCD
A
BC
D
,
∠
A
B
C
=
9
0
o
\angle ABC = 90^o
∠
A
BC
=
9
0
o
,
∠
B
A
C
=
∠
C
A
D
\angle BAC = \angle CAD
∠
B
A
C
=
∠
C
A
D
,
A
C
=
A
D
,
D
H
AC = AD, DH
A
C
=
A
D
,
DH
is the alltitude of the triangle
A
C
D
ACD
A
C
D
. In what ratio does the line
B
H
BH
B
H
divide the segment
C
D
CD
C
D
?
ratio
geometry
right angle
equal segments
equal angles