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Pythagorean Theorem Calculator

Calculate missing sides of a right triangle using a² + b² = c².

Pythagorean Calculator

Solve for any side of a right-angled triangle.

Enter any two sides to find the third. The calculator uses the formula a² + b² = c².

Understanding the Pythagorean Theorem Calculator

Easily find the length of any side of a right-angled triangle. Whether you are finding the hypotenuse or a missing leg, our tool provides precise results and a visual geometry guide.

Guide

How to use the Pythagorean Theorem Calculator

  • 1Select whether you want to calculate the 'Hypotenuse (C)' or a 'Leg (A)'.
  • 2Enter the lengths of the two sides you already know.
  • 3The calculator will automatically display the third side as you type.
  • 4Refer to the 'Visual Geometry' box to see how your triangle looks to scale.
Applications

Common Use Cases

Construction: Ensuring foundations and walls meet at perfect 90-degree angles.
Screen Sizes: Calculating the diagonal length of televisions and monitors.
Navigation: Finding the shortest distance between two points on a map grid.
Physics: Analyzing forces and motion vectors in two dimensions.

The Maths Behind the Calculation

a² + b² = c²

The square of the hypotenuse is equal to the sum of the squares of the legs. This holds true for all right-angled triangles.

Knowledge Base

Frequently Asked Questions

What is a right triangle?

A right triangle (or right-angled triangle) is a triangle that has exactly one internal angle measuring 90 degrees.

Can I use this for non-right triangles?

No. The Pythagorean Theorem only works for right triangles. For other shapes, you must use the Law of Sines or Law of Cosines.

Is 'c' always the hypotenuse?

By mathematical convention, 'c' represents the hypotenuse (the longest side), while 'a' and 'b' represent the two shorter legs.

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