Pothayanar’s Hypotenuse Formula | Tamil Alternative to Pythagoras

In this video, we explore a fascinating and lesser-known discovery from ancient India—an alternative to the Pythagorean Theorem proposed by Tamil mathematician-poet Pothayanar, who lived nearly 800 years before Pythagoras!

Using just simple fractions—no squares or square roots needed—Pothayanar’s elegant 4-line verse gives a surprisingly accurate method to calculate the hypotenuse of a right-angled triangle.

We test the formula with real examples:

A = 8, B = 6

A = 28, B = 21

A = 12, B = 5

And find that it gives the same result as the modern formula:
C = √(A² + B²)

Pothayanar’s method: C = (7/8 × A) + (1/2 × B)
—Simple, quick, and insightful!

Join us as we bring to light the brilliance of India’s ancient mathematical heritage and discuss why gems like these deserve a place in our modern education system.

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