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Pythagorean Theorem

See how to use the pythagorean theorem
to find the side of a right triangle.
5 examples and their solutions.

Pythagorean Theorem

Theorem


a2 + b2 = c2
Proof

Example

Solution

Example

Solution

Pythagorean Triples

Definition

3, 4, 5
5, 12, 13
7, 24, 25
...
The Pythagorean triple is three positive integers
that satisfy the Pythagorean theorem:
a2 + b2 = c2.
In high school,
these triples (and their multiples) are mostly used.

Example

Solution

Example

Solution

Example

Solution