A Pythagorean Triplet has 3 numbers a, b, c

and

 

  a 2 + b 2 = c 2

Thus, we say that (a, b, c) are Pythagorean triplet

 

Note : This a, b, c are sides of a right triangle

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The most common Pythagorean Triplets are

  • 3, 4, 5
  • 5, 12, 13
  • 7, 24, 25
  • 8, 15, 17

Let’s see how we check them

 

For Numbers 3, 4, 5

   3 2 + 4 2 = 9+16

        = 25

        = 5 2    

        ∴ 3 2 +4 2 =5 2  

Thus, 3, 4, 5 are Pythagoras Triplets.

 

For Number  5, 12, 13

  5 + 1222 = 25 + 144

  = 169

  = 13 2

Thus, 5, 12, 13 are Pythagorean Triplets.

  1. Chapter 6 Class 8 Squares and Square Roots
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.