Question

find a Pythagorean triplet in which one number is 12.

Answer 1

hey mate here is

( 5, 12 , 13)
5^2 +12^2 =13^2
25 + 144 = 169
169 =169


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Answer 2

$\huge\underline\mathbb{GIVEN:-}$

• One number of Pythagorean triplet is 12

$\huge\underline\mathbb{TO\:FIND:-}$

Find the Pythagorean triplet = ?

$\huge\underline\mathbb{SOLUTION:-}$

For any natural number m, the Pythagorean triplet is 2m, m² - 1, m² + 1

$\rm\bold{Let\: m = 6}$

$\implies$ $\bf{2m = 12 }$

$\implies$$\bf{m = \frac{12}{2} = 6}$

$\rm\bold{The \:value \:of\: m = 6}$

Now, putting the value of m in (m² -1)

$\implies$ $\bf{{m}^{2} - 1 }$

$\implies$$\bf{{ (6)}^{2} - 1 }$

$\implies$ $\bf{36 - 1}$

$\implies$ $\large\bf{35}$

Putting the value of m in m² + 1

$\implies$ $\bf{{m}^{2}+ 1}$

$\implies$ $\bf{{(6) }^{2}+ 1}$

$\implies$ $\bf{36 + 1}$

$\implies$ $\large\bf{37}$

The two numbers of Pythagorean triplet are $\bf{35}$ and $\bf{37}$