Pythagorean Theorem Calculator
Calculate sides of a right triangle using a² + b² = c²
Input
Given two legs, find the hypotenuse
Result
Hypotenuse (c)
5
Pythagorean Triple!
Calculation
c = √(3² + 4²) = √(9 + 16) = √25 = 5
a²
9
b²
16
c²
25
Area
6
Perimeter
12
All Sides
a = 3, b = 4, c = 5
Common Pythagorean Triples
Click to use these values (all integers where a² + b² = c²)
Pythagorean Theorem
a² + b² = c²
- a and b are the legs (sides adjacent to the right angle)
- c is the hypotenuse (longest side, opposite the right angle)
- Only applies to right triangles (90 degree angle)
Derived Formulas
c = √(a² + b²)
a = √(c² - b²)
b = √(c² - a²)
Area = ½ × a × b