Question

Write three sets of pythagorean triplets such that each set has numbers less than 30.

Answer 1

The three sets of pythagorean triplets such that each set has numbers less than 30 are 3, 4 and 5;6, 8 and 10; 5, 12 and 13

Proof :

In 3, 4 and 5 $3^2+4^2=5^2$

$\Rightarrow 9+16=25$

$\Rightarrow 25=25$

In 6, 8 and 10

$6^2+8^2={10}^2$

$\Rightarrow 36+64=100$

$\Rightarrow 100=100$

In 5, 12, and 13 $5^2+{12}^2={13}^2$

$\Rightarrow 25+144=169$

$\Rightarrow 169=169$