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Number PatternsPythagorasMedium

Bhaskara's "Behold!"

Four triangles and a tilted square prove Pythagoras at a glance.

Worked demonstration

Bhaskara's "Behold!" proof arranges four right triangles with legs 10 and 12 around a tilted central square. What is the AREA of that central square?

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Why it works

Four right triangles (legs a, b) frame a central square of side (b − a); the areas combine to c² = a² + b².

Background & Explore Further

Bhaskara II (1114–1185) gave this elegant dissection proof; the famous one-word 'Behold!' is part legend. Explore his deeper work — the chakravala method for Pell's equation.

Explore: MacTutor — Bhaskara II

Bhaskara's "Behold!" — Math Magic Trick of the Day | HelloBanaras