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Brazil Team Selection Test
2013 Brazil Team Selection Test
1
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Part of
2013 Brazil Team Selection Test
Problems
(1)
D in AB such that AB,BC,CA,CD are integers and AD/DB=9/7
Source: 2013 Brasil IMO TST 3.1
7/23/2021
Find a triangle
A
B
C
ABC
A
BC
with a point
D
D
D
on side
A
B
AB
A
B
such that the measures of
A
B
,
B
C
,
C
A
AB, BC, CA
A
B
,
BC
,
C
A
and
C
D
CD
C
D
are all integers and
A
D
D
B
=
9
7
\frac{AD}{DB}=\frac{9}{7}
D
B
A
D
=
7
9
, or prove that such a triangle does not exist.
geometry
Integers