Pythagorean Theorem Calculator

Enter value and click on calculate. Result will be displayed.

Formula:  c = √a2 + b2

Select side :
 
Adjacent side (a) :
Opposite side (b) :
Result:

A Pythagorean Theorem Calculator is a tool used to find the lengths of the sides of a right-angled triangle using the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides:

Where:

  • c = hypotenuse (longest side)
  • a = one of the legs
  • b = the other leg

Why use a Pythagorean Theorem Calculator?

  • Saves Time: Quickly finds missing side lengths without manual calculations.
  • Accuracy: Minimizes human error when working with complex numbers.
  • Practical Use: Essential for construction, design, and navigation.
  • Educational Support: Helps students understand and check their work.

How does a Pythagorean Theorem Calculator work?

  • Input: Two known sides of a right triangle — either two legs or one leg and the hypotenuse.
  • Calculation:
    • If you’re solving for the hypotenuse:
    • If you’re solving for a missing leg:
  • Output: The length of the missing side.

When should you use a Pythagorean Theorem Calculator?

  • In construction and carpentry: To ensure right angles and accurate measurements.
  • For navigation: Calculating straight-line distances between two points.
  • In physics and engineering: Resolving forces and vectors.
  • In geometry problems: Solving for side lengths in right-angled triangles.