MathDB

4

Part of 1984 Canada National Olympiad

Problems(1)

Acute triangle with unit area

Source: Canadian Mathematical Olympiad - 1984 - Problem 4.

6/26/2011
An acute triangle has unit area. Show that there is a point inside the triangle whose distance from each of the vertices is at least 2274\frac{2}{\sqrt[4]{27}}.
geometrytrigonometrygeometry unsolved