Respuesta :

10n31y

It's gonna be an irrational number because the length of the hypotenuse is 6.40312....... cm

[tex] {4}^{2} + {5}^{2} = {41}^{2} [/tex]

[tex] \sqrt{41} = 6.403124237[/tex]

An irrational number cannot be written as a simple fraction and the decimals would keep on going without a pattern (if it was repeating, it would be rational).

Answer:

If the legs are equal to 4 cm and 5 cm, respectively we can rewrite the equation 42+52=c2 -> 16+25=41=c^2 so then, c= the square root of 41, which is an irrational number.

Hope this helps!