Question

what will be the value of x if {6,x,10} is a pythagorean triplet

Answer 1

Step-by-step explanation:

x = 8

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Answer 2

The value of x = 8

Given :

{ 6 , x , 10 } is a pythagorean triplet

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that { 6 , x , 10 } is a pythagorean triplet

By the given condition

$\displaystyle \sf{ {6}^{2} + {x}^{2} = {10}^{2} }$

Step 2 of 2 :

Find the value of x

$\sf \: {6}^{2} + {x}^{2} = {10}^{2}$

$\displaystyle \sf{ \implies {x}^{2} = {10}^{2} - {6}^{2} }$

$\displaystyle \sf{ \implies {x}^{2} = 100 - 36 }$

$\displaystyle \sf{ \implies {x}^{2} = 64 }$

$\displaystyle \sf{ \implies x = 8 }$

Hence the required value of x = 8