3-4-5 is a Pythagorean triplet. What about others. Read on the following to understand how to develop more such triplets.

**Pythagoras Theorem **For a right angled triangle

The square of the hypotenuse = sum of squares of the other two sides.

In the given figure

**AB**^{2} + BC^{2} = AC^{2}**Some Pythagorean Relation**

**Properties of Pythagorean Relation**

Any integer 'n' can be multiplied with P to get other triplets Pythagorean relation. i.e. Pythagorean relation will be unaltered.

If n = {1, 2, 3, 4, 5, ...} therefore (nP)

^{2} + (na)

^{2} = {n(a + 1)}

^{2} for example;

1. If triplet (3, 4, 5) multiply by 2 to get (6,8,10) 2. If triplet (5, 12, 13) multiply by 3 to get (15, 36, 39) and so on

Note: Every **Pythagorean** triplet can be found out by this **relation**.