Find a right triangle that has legs with your irrational lengths and a hypotenuse with a rational length

gg easy

the legs of a triangle are related as 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

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

if we say and then we get

and (which are both irrational)

the answer to the question is a  

it has the same slope and the same y-intercept.