Question

solve the system of equations:
(x-a)^2 + (y-b)^2= 1/2 [ (a-c)^2 +(b-d)^2]

(x-c)^2+(y-d)^2= 1/2 [(a-c)^2+(b-d)^2]

I plugged it into wolframalpha so i got what x and y are (in terms of a,b,c,d) but for class I need to figure out the step by step processs.
PLEASE HELPP THANks