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

Question

asked Apr 22, 2023 204k views

1 Answer

Phil Gref · Answer 1 · 2023-04-28T22:53:28+0000

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.