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Pythagorean Theorem

Pythagorean Theorem

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

The Pythagorean Theorem is a fundamental principle in geometry that relates the sides of a right triangle.


It states that:

a^2 + b^2 = c^2

Where:

  • a and b are the legs (the two shorter sides of the right triangle)

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

In Words:

The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Example:

A right triangle with height three and base four.

3^2 + 4^2 = 9 + 16 = 25 = 5^2


So the hypotenuse is 5.



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Algebra 1

Lines, slope, functions & more

Geometry

Shapes, proofs & spatial reasoning

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