Question

Write the pythagorean triplet whose one number is 18 in class 8th

Answer 1

Answer:

10th

Maths

Triangles

Pythagoras Theorem and its Converse

Write a pythagorean triplet...

MATHS

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Asked on December 26, 2019 by

Bristi Prathyu

Write a pythagorean triplet whose one member is 18.

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ANSWER

We have pythagorean triplet (2n,n

2

−1,n

2

+1) where n>1 (natural number)

Let n

2

−1=18

n

2

=19

n=

19

(not an integer)

n

2

+1=18

n

2

=18−1

n

2

=17

n=

17

(is not an integer)

So, let us take 2n=18

n=9

∴ The required triplet is (an integer)

(18,9

2

−1,9

2

+1)=(18,81−1,81+1)

i.e., (18,80,82)

Answer 2

Step-by-step explanation:

For any natural number m > 1, 2m, m2 − 1, m2 + 1 forms a Pythagorean triplet. The value of m will not be an integer. Again the value of m is not an integer. Therefore, the Pythagorean triplet is 18, 80, and 82.