Question

Which set could not represent the lengths of the slides of a triangle?

Answer 1

hello

to solve this question, we asume it's a right angled triangle and we use pythagorean theorem

pythagorean thorem states that the square of the longest side which is the hypothenus of a triangles is equal to the sum of the square of the two other sides which are the opposite and adjacent

according to pythagorean

`x^2=y^2+z^2`

now we go through the options

from the first option (3, 4, 5)

the longest side here is 5

let's check if this is true

`\begin{gathered} x^2=y^2+z^2 \\ 5^2=4^2+3^2 \\ 25=16+9 \\ 25=25 \end{gathered}`

option 1 is represents a triangle

let's check option 2

(2, 5, 9)

longest side = 9

`\begin{gathered} 9^2=2^2+5^2 \\ 81=4+25 \\ 81\\e29 \end{gathered}`

option 2 does not represents a triangle and it's the right option here