MathDB

(085) 1

Part of 1985 Tournament Of Towns

Problems(1)

TOT 085 1985 Spring J1 in triangle c >= (a + b) \sin (\gamma/2)

Source:

8/24/2019
a,ba, b and cc are sides of a triangle, and γ\gamma is its angle opposite cc. Prove that c≥(a+b)sin⁡γ2c \ge (a + b) \sin \frac{\gamma}{2}
(V. Prasolov )
trigonometrygeometrygeometric inequalityinequalities