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Pythagorean Theorem

How to use:

Pythagorean Theorem: In a right triangle, a² + b² = c²

Hypotenuse: The longest side, opposite to the right angle

Legs: The two sides that form the right angle

Example:

If a = 3 and b = 4, then c = √(3² + 4²) = √25 = 5

Verification: 3² + 4² = 9 + 16 = 25 = 5²

Online Pythagorean Calculator

Need to find the value of a side of a right triangle? Our Pythagorean calculator solves using the theorem automatically.


What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the legs:

👉 Formula: a² + b² = c²

Where c is the hypotenuse and a and b are the legs.


How to use the Pythagorean calculator

  1. Enter the values of the known sides.
  2. Leave blank the side you want to calculate.
  3. Click Calculate.

✅ The result shows the exact value of the missing side.


Practical use examples

  • Construction: calculate measurements of land and buildings.
  • Geometry: solve right triangle exercises.
  • Engineering and physics: apply to spatial and structural problems.

Frequently Asked Questions (FAQ)

Does the theorem apply to any triangle?

No, only to right triangles.

Can I use decimal numbers?

Yes, the tool calculates precisely.


Tips and curiosities

  • Pythagoras was a Greek philosopher and mathematician who lived in the 6th century BC.
  • The theorem is one of the foundations of geometry to this day.

➡️ Calculate the triangle side now with our Pythagorean tool!

Pythagorean Theorem - Toolcan.io