The value of n is 0 and the coordinate of D is at (0, -2)
Find the coordinate of the plane attached.
Given the following coordinates:
C = (0, -2)
D = (n, -2)
E = (n, 2)
Get the distance from point D to point E using the distance formula:
[tex]DE=\sqrt{(2+2)^2+(n-n)} \\DE=\sqrt{(4)^2} \\DE=4 units[/tex]
Get the distance from point D to point C using the distance formula:
[tex]DC=\sqrt{(2+2)^2+(n-n)} \\DC=\sqrt{(4)^2+n^2} \\DC=\sqrt{16+n^2}[/tex]
If the distance from point D to point E is equal to the distance from point D to point C, hence;
[tex]\sqrt{16+n^2}=4\\16+n^2=4^2\\n^2=16-16\\n=0[/tex]
Get the coordinate of point D(n, -2)
D = (0, -2)
Hence the value of n is 0 and the coordinate of D is at (0, -2)
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