Pythagorean Theorem Calculator - calculatorsee.com


Pythagorean Theorem Calculator

Find the hypotenuse or missing leg of any right triangle using the Pythagorean theorem with full step-by-step radical simplification.

Calculator Inputs

Select side to compute.
First right-angle leg.
Second known dimension.

Calculated Results

Hypotenuse (c)
10.00 Units
Triangle Area 24.00 sq units
Perimeter 24.00 units
Acute Angle α 53.13°
Values calculate live as you adjust inputs.

About Pythagorean Theorem Calculator

The Pythagorean theorem states that in any right triangle, the square of the longest side (hypotenuse c) equals the sum of the squares of the two shorter legs (a² + b² = c²).

What is Pythagorean Theorem Calculator?

The Pythagorean theorem states that in any right triangle, the square of the longest side (hypotenuse c) equals the sum of the squares of the two shorter legs (a² + b² = c²).

How to Use This Calculator

  1. Choose which side you need to solve for (c, a, or b).
  2. Enter the two known side lengths.
  3. Review the exact calculated dimension along with triangle area and acute angles.

The Mathematical Formula & Variables

Hypotenuse c = Sqrt(a^2 + b^2); Leg a = Sqrt(c^2 - b^2)

Variables Definition

Symbol / Variable Name Description
c Hypotenuse Longest side opposite the 90-degree right angle.

Step-by-Step Worked Example

Scenario: Right triangle with legs a = 6 and b = 8.

  1. Square leg a: 6² = 36.
  2. Square leg b: 8² = 64.
  3. Sum squares: 36 + 64 = 100.
  4. Take square root: √100 = 10.

Result: Hypotenuse c = 10

Frequently Asked Questions

What is a Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c that satisfy a² + b² = c². Well-known examples include (3, 4, 5), (5, 12, 13), and (8, 15, 17).