11.3

Part of 1996 All-Russian Olympiad Regional Round

Problems(1)

3 circles of r=1/sqrt3 cover triangle - All-Russian MO 1996 Regional (R4) 11.3

Source:

The length of the longest side of a triangle is

1

. Prove that three circles of radius

\frac{1}{\sqrt3}

with centers at the vertices cover the entire triangle.

geometrygeometirc in