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Part of
2015 Irish Math Olympiad
Problems
(1)
altitude from A to BC equals 1, D midpoint AC, BD=?
Source: Irmo 2015 p1 q1
9/16/2018
In the triangle
A
B
C
ABC
A
BC
, the length of the altitude from
A
A
A
to
B
C
BC
BC
is equal to
1
1
1
.
D
D
D
is the midpoint of
A
C
AC
A
C
. What are the possible lengths of
B
D
BD
B
D
?
geometry
altitude
midpoint