Geometry and trigonometry

Pythagorean theorem

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two shorter sides.

Common notationa²+b²=c²

In one sentence

What does Pythagorean theorem mean?

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two shorter sides.

How it is written

a²+b²=c²

A compact example

Sides 3 and 4 produce hypotenuse 5 because 9+16=25.

Other names and search terms

Pythagoras theorem.

Where this fits

When should you learn Pythagorean theorem?

The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.

  1. 1Pre-high schoolUsually introduced
  2. 2High schoolGreater depth
  3. 3CollegeGreater depth
  4. 4AdvancedGreater depth
Typical subjects
  • Geometry
  • Trigonometry
Know first
  • Arithmetic
  • Measurement
What it unlocks
  • Vectors
  • Waves
  • Coordinate geometry

Clear answers

Questions about Pythagorean theorem

What does Pythagorean theorem mean in mathematics?

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two shorter sides.

How is Pythagorean theorem written?

A common notation is a²+b²=c².

What is an example of Pythagorean theorem?

Sides 3 and 4 produce hypotenuse 5 because 9+16=25.

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