Pythagorean Triples Checker

Welcome to the Pythagorean triples checker, which helps you quickly verify whether a given set of numbers is a Pythagorean triple.

Pythagorean Triples Checker

a² + b² = c²

Eg, Does 3, 4 and 5 make a Pythagorean triple? Enter 3 into the first input box, enter 4 into the second input box and enter 5 into the third input box.

Calculate Reset

What's the Pythagorean triple?

A Pythagorean triple is an array of three positive integers that satisfy the Pythagorean theorem. Such a triple is commonly written (a, b, c) and a² + b² = c². Obviously, the Pythagorean triple is a set of positive integers that form the sides of a right triangle.

For example: (3, 4, 5) is a Pythagorean triple, because 3² + 4² = 5².

List of common Pythagorean triples

(3, 4, 5)
(5, 12, 13)
(6, 8, 10)
(7, 24, 25)
(8, 15, 17)
(9, 40, 41)
(10, 24, 26)
(11, 60, 61)
(12, 16, 20)
(12, 35, 37)
(13, 84, 85)
(15, 20, 25)
(16, 63, 65)
(17, 144, 145)
(18, 24, 30)
(19, 180, 181)
(20, 21, 29)
(20, 99, 101)
(21, 220, 221)
(23, 264, 265)
(28, 45, 53)
(33, 56, 65)
(48, 55, 73)
(36, 77, 85)
(39, 80, 89)
(65, 72, 97)

How to use the Pythagorean triples checker

The procedure to use Pythagorean triples checker is as follows:

1Enter 3 positive integers in each of the 3 input boxes.
2Click Calculate button to verify whether the input integers are a Pythagorean triple.
3Click the Reset button to start a new verification.

Solved examples using Pythagorean triples checker

Example 1, Are 14, 48 and 49 is a Pythagorean triple?

Enter 14 into the first input box.

Enter 48 into the second input box.

Enter 49 into the third input box.

Then click Calculate button, as shown in the figure, 14, 48, 49 is not a Pythagorean Triple.

Are 14, 48 and 49 is a Pythagorean triple

Example 2, Does 30, 40, 45 Make a right triangle?

Enter 30 into the first input box.

Enter 40 into the second input box.

Enter 45 into the third input box.

Then click Calculate button, as shown in the figure, the answer is No. 30, 40, 45 can’t make a right triangle.

Example 3, Are 16, 30 and 34 is a Pythagorean triple?

Enter 16 into the first input box.

Enter 30 into the second input box.

Enter 34 into the third input box.

Then click Calculate button, as shown in the figure, 16, 30, 34 is a Pythagorean Triple.

Are 16, 30 and 34 is a Pythagorean triple

Pythagorean Triples Checker