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National and Regional Contests
India Contests
Regional Mathematical Olympiad
1996 India Regional Mathematical Olympiad
5
5
Part of
1996 India Regional Mathematical Olympiad
Problems
(1)
A triangle ineq
Source: 0
10/26/2005
Let
A
B
C
ABC
A
BC
be a triangle and
h
a
h_a
h
a
be the altitude through
A
A
A
. Prove that
(
b
+
c
)
2
≥
a
2
+
4
h
a
2
.
(b+c)^2 \geq a^2 + 4h_a ^2 .
(
b
+
c
)
2
≥
a
2
+
4
h
a
2
.
inequalities