28

Part of 1949-56 Chisinau City MO

Problems(1)

Chisinau MO p28 1949-56 VIII-IX 2\sqrt{(p-b)(p-c)} <= a

Source:

Prove the inequality

2\sqrt{(p-b)(p-c)}\le a

a, b, c

are the lengths of the sides, and

p

is the semiperimeter of some triangle..

geometric inequalitygeometryinequalities