I think it has to do with geometry and algebra.

We have a rectangle with four points.

  1. We know each point as $(0,0), (0,10),(10,10)$ and $(10,0)$.
  2. In the rectangle we have another point $(x,y)$.
  3. The distance from this point to the other points is known: $a,b,c,d$

How do we figure out $x,y$ of the point?

  • $\begingroup$ Do you know which corner is $a$ units from $(x,y)$? If not, there will be at least eight solutions (unless $(x,y)$ is at a symmetric location) $\endgroup$ Dec 6, 2013 at 21:22

1 Answer 1


Look at the following image and try so set up the equations. (Pythagoras) enter image description here

  • $\begingroup$ We have a distance $a$, because of pythogoras we have $x^2+y^2=a^2$. There are more trianges like this in the square. So we can set up equations solve $x$ and $y$ in terms of $a,b,c$ and $d$. $\endgroup$
    – user112167
    Dec 6, 2013 at 21:04
  • $\begingroup$ Thank you, I can work off of this $\endgroup$
    – rambossa
    Dec 6, 2013 at 21:41
  • $\begingroup$ You're welcome. $\endgroup$
    – user112167
    Dec 6, 2013 at 21:42

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