Solving 3 variables with 3 equations

[Shmuel]

I have never done these kinds of problems before, how do i solve for x,y, and h?
x+y=14
13= h^2+x^2
15=h^2+y^2

 

[Deleted member 4993]

I have never done these kinds of problems before, how do i solve for x,y, and h?
x+y=14
13= h^2+x^2
15=h^2+y^2

y^2 - x^2 = 2 → (x+y)(y-x) = 2

Now continue ....