Pythagorean Theorem Calculator
Solve for the sides and properties of a right-angled triangle using the equation a² + b² = c² with step-by-step solutions.
Please provide any 2 values below to solve the Pythagorean equation: a² + b² = c².
Triangle Sides
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+√
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Triangle Diagram
Simple right triangle with sides labeled a, b, and c
Detailed Triangle
Right triangle with angles α, β and height h to hypotenuse
About Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) equals the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
Key Properties:
- • c is always the longest side
- • c² = a² + b²
- • α + β = 90°
- • Area = (a × b) / 2
- • Height to hypotenuse = (a × b) / c
Common Applications:
- • Construction and carpentry
- • Navigation and surveying
- • Computer graphics
- • Physics calculations
- • Engineering design