Respuesta :

gg easy


the legs of a triangle are related as [tex]a^2+b^2=c^2[/tex] wehre a, b, and c are the legs and the hypotonuse of a triangle respectively


let's find some stuff

one easy way is to find a rational value for c find values of a and b

lets pick c=5

[tex]a^2+b^2=5^2[/tex]

[tex]a^2+b^2=25[/tex]

now split up 25 into 2 things that don't have rational square roots

if we say [tex]a^2=19[/tex] and [tex]b^2=6[/tex] then we get

[tex]a=\sqrt{19}[/tex] and [tex]b=\sqrt{6}[/tex] (which are both irrational)