MathDB
exists triangle with sidelenths sinA, sinB, sinC 1990 Kyiv City MO 9.4

Source:

July 18, 2021
triangle inequalitytrigonometrygeometry

Problem Statement

Let α,β,γ\alpha, \beta, \gamma be the angles of some triangle. Prove that there is a triangle whose sides are equal to sinα\sin \alpha, sinβ\sin \beta, sinγ\sin \gamma.