Question

Does the set of numbers represent a Pythagorean Triple. 4,5,6YesNo

Answer 1

representNo

Step-by-step explanation

to find if the numbers represent a Pythagorean triple, we need check if it is possible to make a rigth triangle with those side lengths

the bigger number will be the hypotenuse, then

Let

`\begin{gathered} 6\rightarrow hypotenuse \\ 4\rightarrow side1 \\ 5\text{ }\rightarrow side2 \end{gathered}`

now, the Pythagoras theorem is

`\text{side}1^2+side2^2=hypotenuse^2`

then , replace

`\begin{gathered} 4^2+5^2=6^2 \\ 24+25=36 \\ 49=36,\text{ false, then 4.5,6 NOT represent a Pythagorean triple} \end{gathered}`

I hope this helps you.