A Pythagorean triple is a set of three whole numbers, {a, b, c},such that a² + b² =c².

For example, since 6² + 8² = (10)², {6, 8, 10} is a Pythagorean triple. The following steps show how to find Pythagorean triples using any four consecutive Fibonacci numbers. Here we will demonstrate the process with the Fibonacci numbers 3, 5, 8, and 13. 

(1) Determine the product of 2 and the two inner Fibonacci numbers. We have 2(5)(8) = 80, which is the first number in the Pythagorean triple. So a = 80. 

(2) Determine the product of the two outer numbers. We have 3(13) = 39, which is the second number in the Pythagorean triple. So b = 39.

(3) Determine the sum of the squares of the inner two numbers. We have 5² + 8² = 25 + 64 = 89, which is the third number in the Pythagorean triple. So c = 89.

This process has produced the Pythagorean triple, {580, 39, 896}, To verify,

 (80)² + (39)² = (89)²

6400 + 1521 = 7921

             7921 = 792

Use this process to produce four other Pythagorean triples.