Applying Pythagoras theorem to a love triangle

Akash Nair M S
2 min readMay 8, 2020
Photo by Stéphan Valentin on Unsplash

It is difficult to give Pythagoras a label since his interests and contributions are over a broad spectrum of fields. Nevertheless, Pythagoras enjoys stardom in the field of geometry for his eponymous theorem:

in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides.

There are allegations about how he may not have contributed to this theorem, but chasing allegations by classical historians isn’t the theme of this article.

A love triangle has been a common theme in both real and reel life. It is a precarious situation that usually involves three people, and most of the time, it doesn’t end well.

There is no middle path or a diplomatic solution; at least one person is bound to get hurt.

Most mathematicians will claim the entire universe can be understood with mathematical equations. Since love is a universal concept, it may be a worthwhile attempt to apply a mathematical postulate like Pythagoras theorem to understand its implications.

Imagine A, B, and C represent the three people who are part of the love triangle. B & C are in a committed relationship with each other and they are also connected to A, but not necessarily in a romantic manner. At least in the beginning. B is extremely charismatic and enjoys a pivotal position (right angle).

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Even though B is in a committed relationship with C, sometimes the charisma and the voracious ego will blind self-knowledge, and a complex relationship between A & B will start brewing.

The magnitude of emotion/ love B shares with A and C is such (a>c). A begins to develop a certain kind of aversion or jealousy (b)towards C due to its exclusive and explicit relationship with B.

Applying Pythagoras theorem to this triangle, it becomes clear: the magnitude of resentment A will have towards C is the square root of the sum of the love that B shares with A & C.

This is a good data point for anyone planning to be in B’s position. The sum of squares of love shared with two people will always be catastrophic.

It is unfair to call the subject of mathematics not serving any purpose in life. It certainly provides theoretical proof for why a love triangle is a bad idea!

Thank you for reading!

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