# How do you identify a Pythagorean triple?

Determine if the following lengths are Pythagorean Triples. Plug the given numbers into the Pythagorean Theorem. Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle. Plug the given numbers into the Pythagorean Theorem.
A.

### How many Pythagorean triples are there?

So we can make infinitely many triples just using the (3,4,5) triple. Euclid's Proof that there are Infinitely Many Pythagorean Triples.
• #### What are two Pythagorean triples?

The square of the length of the hypotenuse of a right triangle is the sum of the squares of the lengths of the two sides. This is usually expressed as a2+b2 = c2. Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).
• #### What is the Pythagorean triples?

A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime (that is, they have no common divisor larger than 1).
• #### Who was Pythagoras?

Pythagoras, (born c. 570 bce, Samos, Ionia [Greece]—died c. 500–490 bce, Metapontum, Lucanium [Italy]), Greek philosopher, mathematician, and founder of the Pythagorean brotherhood that, although religious in nature, formulated principles that influenced the thought of Plato and Aristotle and contributed to the

Updated: 2nd October 2019