Given:
The coordinates of the vertex J is (-6,3) and the coordinates of the vertex L is (5,-2)
We need to determine the length of the diagonal from vertex J to vertex L.
Length of the diagonal:
The length of the diagonal can be determined using the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the coordinates (-6,3) and (5,-2) in the above formula, we get;
[tex]d=\sqrt{(5+6)^2+(-2-3)^2[/tex]
Simplifying, we get;
[tex]d=\sqrt{(11)^2+(-5)^2[/tex]
[tex]d=\sqrt{121+25}[/tex]
[tex]d=\sqrt{146}[/tex]
Thus, the length of the diagonal from vertex J to vertex L is √146 units.
Hence, Option D is the correct answer.
