CBSE Class 8 Mathematics Question 5 of 8

The Baudhayana-Pythagoras Theorem — Question 5

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5
Question
True or False — Every Baudhayana triple is either a primitive triple or a scaled version of a primitive triple.
Answer

Let (a, b, c) be a Baudhayana triple. Then HCF (a, b, c) = 1 or HCF (a, b, c) ≠ 1 (3, 4, 5): HCF is 1 (10, 24, 26): HCF = 2 If HCF is 1, then the triple is primitive. If HCF is a number other than 1, then the triple is scaled.