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Pythagorean Theorem Calculator – Triangle Solver | CalcTools

Calculate the missing side of a right triangle using a² + b² = c². Essential for geometry and construction.

The Pythagorean theorem is arguably the most famous rule in geometry, describing the perfect relationship between the sides of a right-angled triangle. Whether you are an architect designing a roof, a navigator calculating distance, or a student solving a math problem, this theorem is your most reliable tool. Our Pythagorean service allows you to input any two known sides to find the third instantly, handling the squaring and square root operations with 100% accuracy. It is a fundamental service for anyone working with physical space and dimensions.

Enter two sides to find the third.

Resulting Length

5

Resulting side length is 5

c = √(a² + b²) = √(3² + 4²)
a3
b4

How it Works

The tool identifies which side is missing based on your inputs. It then applies the appropriate algebraic rearrangement of the theorem (either addition or subtraction of squares) and calculates the resulting root.

Calculation Formula

a² + b² = c²

Calculation Examples

1. **Hypotenuse**: Sides 3 and 4 results in **5**. 2. **Side**: Hypotenuse 13 and side 5 results in **12**.

Why use this tool in your daily life?

Triangles are everywhere in our built world. This service is the standard for ensuring your corners are square and your distances are correct, making it a mandatory tool for construction and design.

Frequently Asked Questions

Tip

Bookmark this tool for quick access. Everything runs locally in your browser.

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