Look at Project 8.3, and extend the idea of a Pythagorean triplet. A Pythagorean quartet has four

Question:

Look at Project 8.3, and extend the idea of a Pythagorean triplet. A Pythagorean quartet has four numbers \ (a, b, c\), and $d$ so that $a^{2}+b^{2}+c^{2}=d^{2}$. Outline a method for finding Pythagorean quartets. What do you think is meant by a Pythagorean pentad?

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