Question

Find a right triangle that has legs with your irrational Lengths and a hypotenuse with a rational Length

Answer 1

gg easy

the legs of a triangle are related as
`a^2+b^2=c^2` 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

`a^2+b^2=5^2`

`a^2+b^2=25`

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

if we say
`a^2=19` and
`b^2=6` then we get

`a=√(19)` and
`b=√(6)` (which are both irrational)