Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Write a Pythagorean triplet whose one member is.(iv) 18

Q.2 Write a Pythagorean triplet whose one member is.

 (iv) 18

Answers (1)

best_answer

For any natural number m > 1, 2m, m^{2} - 1 and m^{2} + 1 forms a Pythagorean triplet.

So if we take,           m^{2} - 1 = 18

                                     m^{2} = 18 + 1 = 19

But the value of m will not be an integer.

   Now we take,          m^{2} + 1 = 18

                                     m^{2} = 18 - 1 = 17

  but the value of m will not be an integer.

If we take                       2m = 18

 then                                 m = 9

Then              m^{2} -1 = 81 - 1 = 80           and          m^{2} +1 =  81 + 1  = 82.


Therefore the required combination is 18, 80 and 82

Posted by

Devendra Khairwa

View full answer

Similar Questions

Trending Articles/News

anam-khan

JNVST Class 6 admit card 2025 out at navodaya.gov.in; exam in 2 phases
anam-khan

NVS LEST 2025 application correction deadline today at navodaya.gov.in; editable fields
anam-khan

NVS 2025 application correction window for Class 9, 11 admissions opens at navodaya.gov.in

Latest Question