📐 Pythagorean Theorem Calculator

Enter Known Sides

Enter any two sides of a right triangle. The calculator will compute the remaining side, angles, and area.

Results

Side a (leg)
Side b (leg)
Side c (hypotenuse)
Area
Angle A (opposite a)
Angle B (opposite b)
Perimeter
Theorem

FAQ

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) equals the sum of squares of the two legs: a² + b² = c². It is one of the most fundamental theorems in geometry.

How to use this calculator?

Fill in any two of the three side fields (leave one blank), then click "Calculate". The calculator will compute the missing side along with angles, area, and perimeter. You can also click example buttons to try it out.

Does the Pythagorean theorem apply to all triangles?

No, it only applies to right triangles (triangles with a 90° angle). For other triangles, use the Law of Cosines: c² = a² + b² - 2ab·cos(C).

What are Pythagorean triples?

Pythagorean triples are sets of three positive integers that satisfy a² + b² = c². Common examples include (3,4,5), (5,12,13), (8,15,17), and (7,24,25).