Question

If 6, 8, and c form a Pythagorean triplet with 6 being the smallest number, find the value of c.

Answer 1

For a set of natural numbers to form a Pythagorean triplet, the sum of the squares of the two numbers should be equal to the square of the third number.

$6^2+8^2=c^2$

$36+64=c^2$

$c^2=100$

$\Rightarrow c=\sqrt{100}=10$