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India Contests
India National Olympiad
2016 India National Olympiad
P1
P1
Part of
2016 India National Olympiad
Problems
(1)
Orthocenter lies on incircle in isosceles ā
Source: INMO 2016 Problem 1
1/17/2016
Let
A
B
C
ABC
A
BC
be a triangle in which
A
B
=
A
C
AB=AC
A
B
=
A
C
. Suppose the orthocentre of the triangle lies on the incircle. Find the ratio
A
B
B
C
\frac{AB}{BC}
BC
A
B
ā
.
geometry
geometry proposed