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Contests
National and Regional Contests
India Contests
India National Olympiad
2007 India National Olympiad
1
1
Part of
2007 India National Olympiad
Problems
(1)
Inequality in a right triangle
Source: INMO 2007 Question 1
11/2/2009
In a triangle
A
B
C
ABC
A
BC
right-angled at
C
C
C
, the median through
B
B
B
bisects the angle between
B
A
BA
B
A
and the bisector of
∠
B
\angle B
∠
B
. Prove that
5
2
<
A
B
B
C
<
3
\frac{5}{2} < \frac{AB}{BC} < 3
2
5
<
BC
A
B
<
3
inequalities
trigonometry
function
geometry unsolved
geometry