Pythagorean Theorem Calculator
Verified Calculation Engine
The online Pythagorean Theorem Calculator helps you calculate instantly and solve problems related to Geometry. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Finds the missing side of a right triangle using the Pythagorean theorem: a² + b² = c².
For right triangle: a² + b² = c², where c is hypotenuse
Square of hypotenuse equals sum of squares of other two sides
Inputs
Results
Worked Examples
Example 1: Find Hypotenuse
Find hypotenuse: sides = 3 m, 4 m
- find: hypotenuse
- side1: 3
- side2: 4
- missingSide: 5
Example 2: Find Leg
Find leg: hypotenuse = 13 m, leg = 5 m
- find: leg1
- side1: 13
- side2: 5
- missingSide: 12
About this calculator
Overview
Pythagorean Theorem Calculator finds a missing side of a right triangle from the other two sides using a² + b² = c² (with c as the hypotenuse).
When to use
Use for geometry homework, carpentry layout checks, or quick distance checks in the plane when the triangle is right-angled.
Formula / method
Identify which side is unknown. If the hypotenuse is unknown, c = √(a² + b²). If a leg is unknown, that leg = √(c² − other_leg²). Inputs must be positive and satisfy triangle inequalities.
Worked example
Legs a = 3 and b = 4 → hypotenuse c = 5. Hypotenuse c = 13 and leg a = 5 → other leg b = 12.
Interpreting results
Results apply only to right triangles in Euclidean geometry; obtuse/acute triangles need other relations.
Assumptions
- The triangle is right-angled.
- Inputs correspond to the leg/hypotenuse roles expected by the form.
Limitations
- Not valid for non-right triangles without additional trigonometry.
Important note
Educational mathematics tool. Verify survey or structural work with professional methods.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
Identify which side is unknown. If the hypotenuse is unknown, c = √(a² + b²). If a leg is unknown, that leg = √(c² − other_leg²). Inputs must be positive and satisfy triangle inequalities.
Example Calculation
Legs a = 3 and b = 4 → hypotenuse c = 5. Hypotenuse c = 13 and leg a = 5 → other leg b = 12.
Frequently Asked Questions
What is Pythagorean Theorem Calculator?
- Pythagorean Theorem Calculator finds a missing side of a right triangle from the other two sides using a² + b² = c² (with c as the hypotenuse).
How does Pythagorean Theorem Calculator work?
- Identify which side is unknown. If the hypotenuse is unknown, c = √(a² + b²). If a leg is unknown, that leg = √(c² − other_leg²). Inputs must be positive and satisfy triangle inequalities.
Why use this Math Numbers calculator?
- Use for geometry homework, carpentry layout checks, or quick distance checks in the plane when the triangle is right-angled.