Three circles in a triangle puzzle

In an equilateral triangle with side length 1 what is the largest area that can be covered by three non-overlapping circles?

Three circles in a triangle solution

Problem Page Coordinator: Stephen Lee CMath MIMA

Mathematics in Education and Industry

Acknowledgement: The IMA are indebted to MEI for sourcing and supplying Mathematics Today with these well-known puzzles.

First published in Mathematics Today (December 2014)

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