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📏
📏 Geometry
Pythagoras' Theorem
In a right triangle: a²+b²=c²; most famous theorem in mathematics; known to Babylonians 1,000 years before Pythagoras
Greece 🌍 570 BC Geometry
Key Facts
- 1
a² + b² = c² where c is hypotenuse; applies ONLY to right-angled triangles
- 2
Converse: if a²+b²=c², then the triangle is right-angled; Pythagorean triples: 3,4,5; 5,12,13; 8,15,17
- 3
Applications: navigation, construction, measuring distances, computer graphics, GPS calculations
🔢 Did you know? There are 370+ different proofs of the Pythagorean theorem — President James Garfield of the USA created his own unique proof in 1876
Quick Reference
Category
Geometry
Country
🌍 Greece
Year / Era
570 BC
About
In a right triangle: a²+b²=c²