CBSE Class 8CBSE
Share
Notifications

View all notifications

Write a Pythagorean Triplet Whose One Member Is 18 - CBSE Class 8 - Mathematics

Login
Create free account


      Forgot password?

Question

Write a Pythagorean triplet whose one member is 18

Solution

For any natural number m > 1, 2mm2 − 1, m2 + 1 forms a Pythagorean triplet.

If we take m2 + 1 = 18,

m2 = 17

The value of m will not be an integer.

If we take m2 − 1 = 18, then m2 = 19

Again the value of m is not an integer.

Let 2=18

= 9

Thus, m2 − 1 = 81 − 1 = 80 and m2 + 1 = 81 + 1 = 82

Therefore, the Pythagorean triplet is 18, 80, and 82.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 6: Squares and Square Roots
Ex. 6.20 | Q: 2.4 | Page no. 98

Video TutorialsVIEW ALL [1]

Solution Write a Pythagorean Triplet Whose One Member Is 18 Concept: Finding the Square of a Number - Pythagorean Triplets.
S
View in app×