Pythagorean Theorem & Hypotenuse Calculator

Solve for any side of a right-angled triangle (Side A, Side B, or Hypotenuse C) using the Pythagorean formula a² + b² = c².

This Pythagorean-theorem page is tuned for solving any missing side of a right triangle and showing the formula steps behind a² + b² = c².

Calculated Triangle Properties

Side a3.0000
Side b4.0000
Hypotenuse c5.0000
Angle A / B36.87° / 53.13°
Area / Perimeter6.0000 / 12.0000

Pythagorean Solving Steps:

c = √(a² + b²) = √(3² + 4²) = √(9 + 16) = √(25) ≈ 5.0000

Frequently Asked Questions

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): a² + b² = c².

What is the hypotenuse?

The hypotenuse is the longest side of a right-angled triangle, always opposite the 90-degree right angle.