Question

Check if the following lengths are Pythagorean triples: $60,61$ and $11$.

Answer 1

The longest side of the triangle is called the hypotenuse. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the two other sides.

$\therefore {61}^2={11}^2+{60}^2$

$\Rightarrow {60}^2+{11}^2=3600+121=3721$

$\Rightarrow {61}^2=3721$

$\therefore 3721=3721$

Hence these length are Pythagorean triples.