Question

B. 1) Find the Pythagorean triplets.
a) 2, 4, 5
b) 4, 5, 6
c) 4, 7, 8.​

Answer 1

Step-by-step explanation:

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Answer 2

a )The given set of numbers is (2, 4, 5).

The biggest number among the given set is 5.

52 = 25; 42 = 16; 22 = 4

Now, 16 + 4 = 20 ≠ 25

∴ 42 + 22 ≠ 52

Thus, (2, 4, 5) does not form a Pythagorean triplet.

b)The given set of numbers is (4, 5, 6).

The biggest number among the given set is 6.

62 = 36; 52 = 25; 42 = 16

Now, 25 + 16 = 41 ≠ 36

∴ 52 + 42 ≠ 62

Thus, (4, 5, 6) does not form a Pythagorean triplet.

c) The given set of numbers is (4, 7, 8).

The biggest number among the given set is 8.

82 = 64; 72 = 49; 42 = 16

Now, 16 + 49 = 65 ≠ 64

∴ 42 + 72 ≠ 82

Thus, (4, 7, 8) does not form a Pythagorean triplet.

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