Answer:
The length of segment TR with T(-4,5) and R(2, -1) is 8.49
Step-by-step explanation:
We need to find the length of segment TR with T(-4,5) and R(2, -1)
The length of segment can be found using distance formula.
The distance formula is: [tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting values and finding length
We have: [tex]x_1=-4, y_1=5, x_2=2, y_2=-1[/tex]
[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance = \sqrt{(2-(-4))^2+(-1-5)^2}\\Distance = \sqrt{(2+4)^2+(-1-5)^2}\\Distance = \sqrt{(6)^2+(-6)^2}\\Distance = \sqrt{36+36}\\Distance = \sqrt{72}\\Distance=8.49[/tex]
We found Distance = 8.49
So, The length of segment TR with T(-4,5) and R(2, -1) is 8.49.
