Apollonius theorem

In this note we discuss the conditions that must be satisfied by the sides of an arbitrary integer-sided triangle if its medians can serve as the sides of a right-angled triangle.

We continue our informal, short self-help guide on solving geometry problems. In the second part of this series, Ajit Athle describes some strategies which help in solving geometry problems and demonstrates how these strategies are used in solving an intriguing problem. 

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