Suppose the lengths of the sides of a right triangle are all integersdenote these lengths by a,
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Suppose the lengths of the sides of a right triangle are all integers—denote these lengths by a, b, and c where c is the length of the hypotenuse. Then the three numbers (a, b, c) are known as a Pythagorean Triple.
a) Explain why (3, 4, 5) is a Pythagorean Triple.
b) Is (4, 5, 6) a Pythagorean triple? Justify the answer.
c) Is (4, 6, 8) a Pythagorean triple? Justify the answer.
d) Is (6, 8, 10) a Pythagorean triple? Justify the answer.
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