Math, asked by nurtur998, 4 months ago

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Answered by aasthagaba
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Answered by SuhaniiAgarwal
0

Answer:

i) and iii) are pythagorean triplets.

Step-by-step explanation:

Pythagoras Theorem:

Square of Hypotenuse = Sum of squares of other two sides

So, if the numbers satisfy this theorem, they are pythagorean triplets.

i) 6 , 8 , 10

LHS:

10² = 100

RHS:

6² + 8² = 36 + 64 = 100

LHS = RHS

So, these numbers are pythagorean triplets as they satisfy the Pythagoras Theorem.

ii) 3 , 7 , 9

LHS:

9² = 81

RHS:

3² + 7² = 9 + 49 = 58

LHS ≠ RHS

So, these numbers are not Pythagorean triplets as they do not satisfy the Pythagoras Theorem.

iii) 2.5 , 6.5 , 6

LHS:

(6.5)² = 42.25

RHS:

(2.5)² + 6² = 6.25 + 36 = 42.25

LHS = RHS

So, these numbers are pythagorean triplets as they satisfy the Pythagoras Theorem.

Hope it helps you:)

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