The sets of numbers 6,8,10 and 5,12,13 are Pythagorean triples. use what you know about the Pythagorean theorem and explain or show why they are Pythagorean triples. be sure to show your work for each set of triples

Pythagorean Triples are 3 whole numbers such that a^2 + b^2 = c^2

The biggest number must be the 'c' because it is across from the 90 degree angle and therefore the longest side.

6^2 + 8^2?=? 10^2

36 + 64?=? 100

100 = 100

This is true so 6,8,10 is a Pythagorean triple.

5^2 + 12^2?=? 13^2

25 + 144?=? 169

169 = 169

This is true so 5,12,13 is a Pythagorean triple.