MathDB

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

Source:

August 24, 2019

trigonometrygeometrygeometric inequalityinequalities

Problem Statement

a, b

and

c

are sides of a triangle, and

\gamma

is its angle opposite

c

. Prove that

c \ge (a + b) \sin \frac{\gamma}{2}

(V. Prasolov )