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The two numbers of a Pythagorean triplet are 100 and 2499. Find the third number of this Pythagorean triplet.
Given: The two numbers of a Pythagorean triplet are 100 and 2499.
To find The third number of this Pythagorean triplet.
Solution:
Pythagorean triplet are in he form of $2 m , m^2 - 1 , m^2 + 1$
$2 m = 100 ; m^2 - 1 = 2499 m^2 + 1 = ?$
$m = \frac{100}{ 2} = 50$
$m = 50$ ;
$m^2 - 1 = 50^2 - 1 = 2500 - 1 = 2499$
$m^2 +1 = 50^2 + 1 = 2500 + 1 = 2501$
So, the third number is 2501
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