Triples of whole numbers such as the earlier 3-4-5 and 5-12-13 are called Pythagorean triples because they are positive integers that fit an x² + y² = z² relationship. Which of the following are Pythagorean triples?
a. 5, 6, and 7
b. 6, 8, and 10
c. 9, 12, and 15
d. 12, 16, and 20
e. if x,y and z give a Pythagorean triple, will kx, ky, and kz also be a Pythagorean triple?
f. Use the idea in part(e) to generate 12 more Pythagorean triples