Question

2 Examine the following sets of numbers for Pythagorean triplets 9, 13, 15​

Answer 1

Step-by-step explanation:

ANSWER

(i)(9,8,10)

Since these numbers do not follow Pythagoras theorem, we can say that this is not a Pythagoras triplet

(ii)(4,3,5)

Since 5

2

=4

2

+3

2

So, this is a Pythagorean triplet.

(iii)(6,8,10)

Since 10

2

=8

2

+6

2

so, this is a Pythagorean triplet

Answer 2

Therefore the given set of 3 numbers 9, 13, and 15 is not a Pythagorean triplet.

Given:

The set of 3 numbers  = 9, 13, and 15

To Find:

The set of 3 numbers given 9, 13, and 15 are Pythagorean triplets or not.

Solution:

The given question can be solved very easily as shown below.

Given that,

The set of 3 numbers  = 9, 13, and 15

Pythagoras theorem:

The square of the largest number must be equal to the sum of squares of the other 2 numbers.

In the given set of 3 numbers, 15 is the largest so need to check if its square is equal to the sum of squares of the other 2 numbers.

So according to Pythagoras theorem,

⇒ 15²  = 9² + 13²

LHS: 15² = 225

RHS: 9² + 13² = 81 + 169 = 250

Hence 225 ≠ 250 ⇒ So LHS ≠ RHS

Therefore the given set of 3 numbers 9, 13, and 15 is not a Pythagorean triplet.

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