In MATLAB! Please make sure the output matches.

Part 1 The Pythagorean Theorem states that a2 + b2 = c2 . Write a MATLAB program that finds all the combinations of triples a, b, c that are positive integers all less than or equal to 30 that satisfy the Pythagorean Theorem. Display the results in a three-column matrix names PythagoreanTriples in which every row is one triple. Use three nested for loops and one if statement.

Output of Part 1

Part 1

PythagoreanTriples =

3 4 5

5 12 13

6 8 10

7 24 25

8 15 17

9 12 15

10 24 26

12 16 20

15 20 25

18 24 30

20 21 29