Question

Find the Pythagoras trick number 12​

Answer 1

$\huge\red{Question}$

Find the Pythagoras trick number = 12

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The Pythagoras triplets are 12, 35, 37.

Step-by-step explanation:

To know :

A Pythagorean triplet has 3 positive integers of a, b, c such that a² + b² + c² = 0

General form: 2m, m² + 1

Given: 2m=12

To find m shift the 2 to the other side and write it in the denominator.

m= $\cancel\frac{12}{2}$ = 6

When we get the value of m substitute the value in general form of the Pythagorean triplet

Therefore m² - 1 = 6² [Squaring the value of m and subtract it to 1]

 =36-1

 =35

Similarly

=36+1

=37

Hence the Pythagorean triplets are 12, 35, 37

$\huge\red{Thanks}$