Use the pythagorean Theorem to determine which sets of numbers is a Pythagorean Triple:
11, 60, 62
20, 21, 29
9, 12, 14
Let's plug the numbers into the Pythagorean Theorem (a^2 + b^2 = c^2) to see if they form a Pythagorean Triple:
1. For the first set (11, 60, 62):
11^2 + 60^2 = 121 + 3600 = 3721
62^2 = 3844
Since 3721 is NOT equal to 3844, this set is NOT a Pythagorean Triple.
2. For the second set (20, 21, 29):
20^2 + 21^2 = 400 + 441 = 841
29^2 = 841
Since 841 is equal to 841, this set IS a Pythagorean Triple.
3. For the third set (9, 12, 15):
9^2 + 12^2 = 81 + 144 = 225
15^2 = 225
Since 225 is equal to 225, this set IS a Pythagorean Triple.
Therefore, the Pythagorean Triples are:
- 20, 21, 29
- 9, 12, 15