Respuesta :
Answer:
[tex]|RT|=\sqrt{85}$ units[/tex]
Step-by-step explanation:
On Rectangle QRST
QS is congruent to RT since they are opposite side of a rectangle.
If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.
For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]
[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]
Since
[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]
