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Regional Mathematical Olympiad
1996 India Regional Mathematical Olympiad
5
A triangle ineq
A triangle ineq
Source: 0
October 26, 2005
inequalities
Problem Statement
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
.
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