📐 Pythagorean Theorem Calculator – SEO Content 

The Pythagorean Theorem Calculator is one of the most essential math tools available online. It helps users solve for the missing side of any right triangle using the timeless formula:

a² + b² = c²

This free calculator is invaluable for students, teachers, engineers, contractors, architects, and DIYers. Whether you're solving geometry homework, verifying architectural dimensions, or cutting wood at precise angles, this tool gives you fast, accurate answers with zero hassle.

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🧠 What Is the Pythagorean Theorem?

The Pythagorean Theorem is a foundational concept in geometry and algebra. It applies only to right triangles — triangles with a 90-degree angle — and expresses a relationship between the triangle’s three sides:

• a and b are the legs (the shorter sides that form the right angle)

• c is the hypotenuse (the longest side, opposite the right angle)

The formula:

a² + b² = c²

allows you to calculate the length of any one side if the other two are known.

🛠️ How to Use This Calculator

1. Enter any two side lengths of a right triangle into the calculator.

2. Leave the side you want to solve for blank.

3. Click “Calculate” — your missing value appears instantly.

The calculator will:

• Solve for the hypotenuse (c) if a and b are given

• Solve for a or b if the hypotenuse and one leg are known

• Validate inputs to ensure the hypotenuse is longer than the legs

It's fast, reliable, and easy to use — no math background required.

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📊 Real-Life Examples

• If a = 3 and b = 4, then c = 5

• If a = 5 and c = 13, then b = 12

• If b = 6 and c = 10, then a = 8

This calculator is perfect for:

• Quickly verifying triangle side lengths

• Engineering sketches

• Cutting lumber

• Designing structures

• Checking your math homework

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👥 Who Should Use This Tool?

• 📚 Students learning geometry, algebra, or prepping for the SAT

• 🧑‍🏫 Teachers presenting triangle problems in class

• 🧱 Contractors needing to check square angles or calculate cuts

• 🧑‍💻 Designers/Architects needing dimensional accuracy

• 🛠 DIY builders working on projects like decks, sheds, and framing

Anyone working with right angles will benefit from this tool’s speed and accuracy.

🌟 Features

• Solves for any side of a right triangle

• Works with decimals or whole numbers

• Handles errors (like invalid triangle sides)

• Mobile-friendly and fast

• No login or installation required