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26
2013 HMMT Guts #26: Altitudes form Triangles, too!
2013 HMMT Guts #26: Altitudes form Triangles, too!
Source:
March 26, 2013
HMMT
geometry
perimeter
Problem Statement
Triangle
A
B
C
ABC
A
BC
has perimeter
1
1
1
. Its three altitudes form the side lengths of a triangle. Find the set of all possible values of
min
(
A
B
,
B
C
,
C
A
)
\min(AB,BC,CA)
min
(
A
B
,
BC
,
C
A
)
.
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