Pythagorean Theorem
Calculate the hypotenuse or legs of a right triangle.
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Visualization
Hypotenuse C
5
square units
Leg A
0,00
Leg B
0,00
Results
Area
6
Perimeter
12
Calculation
c² = a² + b²
c² = 3² + 4² = 25
c = √25 = 5
Pythagorean Triples
Sets of three positive integers (a, b, c) where a² + b² = c²
What is the Pythagorean Theorem?
In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs: a² + b² = c².
History
Although named after the Greek mathematician Pythagoras (6th century BC), the theorem was known to earlier civilizations.
Applications
Used in construction, navigation, physics, engineering, and to calculate diagonal distances.
Preguntas Frecuentes
Does the theorem work for any triangle?
No, only for right triangles (with a 90° angle).
What are Pythagorean triples?
Sets of three integers that satisfy a² + b² = c², like (3,4,5) or (5,12,13).
How do I verify if a triangle is right?
Check if the sum of squares of the two smaller sides equals the square of the largest side.