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1978 IMO Longlists
51
Finding relations among angles given condition
Finding relations among angles given condition
Source:
October 31, 2010
geometry
perpendicular bisector
geometry unsolved
Problem Statement
Find the relations among the angles of the triangle
A
B
C
ABC
A
BC
whose altitude
A
H
AH
A
H
and median
A
M
AM
A
M
satisfy
∠
B
A
H
=
∠
C
A
M
\angle BAH =\angle CAM
∠
B
A
H
=
∠
C
A
M
.
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