# What are some common pythagorean triples?

3,4,5 and 5,12,13 are the best well known.

### What is the length of side c in right triangle if side a is 4cm and side b is 3cm?

From the Pythagorean Theorem: c^2 = a^2 + b^2. So, c = √(a^2 + b^2) substitute the given values: c = √(4^2 + 3^2) c = √(16 + 9) c = √25 c = 5 (since the length is always positive) One of the Pythagorean triples is 3,4,5. So, if you know all the Pythagorean triples, you don't need to do the computations above. The Pythagorean triple: A set of three positive integers a, b…

### How do you find pythagorean triples?

You have your basic 3-4-5, 5-12-13, and 8-15-17 Pythagorean Triples which are just patterns that have been discovered by mathematicians along the ages, but here is a Wikipedia link if you want more depth: http://en.wikipedia.org/wiki/Formulas_for_generating_Pythagorean_triples Also, here is a good link for a list of a lot of triples, plus cool graphics: http://en.wikipedia.org/wiki/Pythagorean_triple

### How does Euclid's Formula Work?

Euclid's Formula is a method of generating Pythagorean Triples. A Pythagorean Triple is a set of three positive integers (whole numbers), which satisfy the equation a2 + b2 = c2. The smallest Pythagorean Triple is 3, 4, 5. Euclid's Formula says this: If you choose two positive integers m and n, with m < n, then the three numbers n2 - m2, 2mn and n2 + m2 form a Pythagorean Triple. For example, if m…