Question

What is a Pythagorean triplet? Write three Pythagorean triplets.

Answer 1

A Pythagorean triplet is $a^2+b^2=c^2$where $a,bandc$are integers.

These triples are represented as $(a,b,c)$

Here, $a$is the perpendicular,$b$ is the base, and$c$ is the hypotenuse of the right-angled triangle.

The three Pythagorean triplets are given below,

$$\begin{gathered} (3,4,5) \\ byevaluatingweget, \\ {3}^2+4^2=5^2 \\ 9+16=25 \end{gathered}$$

$$\begin{gathered} (5,12,13) \\ byevaluatingweget, \\ {5}^2+{12}^2={13}^2 \\ 25+144=169 \end{gathered}$$

$$\begin{gathered} (7,24,25) \\ byevaluatingweget \\ {7}^2+{24}^2={25}^2 \\ =49+576=625 \end{gathered}$$

Hence, the three triples are $(3,4,5),(5,12,13)and(7,24,25)$