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17
2013 HMMT Guts #17: Medians Along Lines
2013 HMMT Guts #17: Medians Along Lines
Source:
March 26, 2013
HMMT
geometry
perimeter
Problem Statement
The lines
y
=
x
y=x
y
=
x
,
y
=
2
x
y=2x
y
=
2
x
, and
y
=
3
x
y=3x
y
=
3
x
are the three medians of a triangle with perimeter
1
1
1
. Find the length of the longest side of the triangle.
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