Answer:
[tex]\sqrt{13}\ units[/tex]
Step-by-step explanation:
we have
[tex]R(1, -1), S(6, 1),T(8, 5),U(3, 3)[/tex]
Plot the vertices
see the attached figure
The shorter diagonal is SU
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]S(6, 1),U(3, 3)[/tex]
substitute
[tex]SU=\sqrt{(3-1)^{2}+(3-6)^{2}}[/tex]
[tex]SU=\sqrt{(2)^{2}+(-3)^{2}}[/tex]
[tex]SU=\sqrt{13}\ units[/tex]
