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185
ASU 185 All Soviet Union MO 1973 triangle of area 1, a>=b>=c, b^2 \ge 2
ASU 185 All Soviet Union MO 1973 triangle of area 1, a>=b>=c, b^2 \ge 2
Source:
July 4, 2019
geometry
areas
geometric inequality
Problem Statement
Given a triangle with
a
,
b
,
c
a,b,c
a
,
b
,
c
sides and with the area
1
1
1
(
a
≥
b
≥
c
a \ge b \ge c
a
≥
b
≥
c
). Prove that
b
2
≥
2
b^2 \ge 2
b
2
≥
2
.
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