My equation is as follows:
Δ = ||(z1 - z2) / r1| - |(z1 - z3) / r2||
where
r1 = sqrt((x1-x2)^2 + (y1-y2)^2)
and
r2 = sqrt((x1-x3)^2 + (y1-y3)^2)
I don't remember much about absolute values, so I did some reading and came up with these formulas:
Δ = (z1 - z2) / r1 - (z1 - z3) / r2
Δ = -((z1 - z2) / r1) - (-((z1 - z3) / r2))
Δ = -((z1 - z2) / r1) - (z1 - z3) / r2
Δ = (z1 - z2) / r1 - (-((z1 - z3) / r2))
-Δ = (z1 - z2) / r1 - (z1 - z3) / r2
-Δ = -((z1 - z2) / r1) - (-((z1 - z3) / r2))
-Δ = -((z1 - z2) / r1) - (z1 - z3) / r2
-Δ = (z1 - z2) / r1 - (-((z1 - z3) / r2))
Is this the correct way to split out my equation or am I completely off? I am trying to figure out the right way to split out the original equation to solve for any values in the variables.