If we know the three Vertexes of square ... Can we find the fourth Vertex?
what are the equations of theses vertexes?
Sides of the square is not parallel to axes Coordinateness.
That looks fine to me.
I've found a 3rd way to get the 4th vertex:
Let denote the known vertices of the square.
The midpoint of the square is M. Then the M has the coordinates:
M is simultaneously the midpoint of BD:
Calculate !
I've got:
In my opinion this way seems to be the most simple one.
Hello, rqeeb!
If you make a sketch, the answer is obvious.
If we know the three vertexes of square, can we find the fourth vertex?
Suppose the three given vertices are: .
Plot points
Code:| D | ♠ | (1,5) : 1 | A ♥ - - - - - . | 3 | | | | C | ♥ (5,3) | :1 | B ♥ - - - - - . | (2,2) 3 | - - + - - - - - - - - - - - - |
Going from to , we move right 3 and up 1.
Since and
. . going from to , we again move right 3 and up 1.
Therefore, is located at