Answer:
The total length will be "10 units". A further explanation is given below.
Explanation:
The given points are:
R(−2, 4)
S(3, 4)
T(3, −1)
On applying the distance formula,
⇒ [tex]RS=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⇒ [tex]=\sqrt{(3-(-2))^2+(4-4)^2}[/tex]
⇒ [tex]=\sqrt{(3+2)^2+(0)^2}[/tex]
⇒ [tex]=\sqrt{25}[/tex]
⇒ [tex]=5 \ units[/tex]
and,
⇒ [tex]ST=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⇒ [tex]=\sqrt{(3-3)^2+(-1-4)^2}[/tex]
⇒ [tex]=\sqrt{0+(-5)^2}[/tex]
⇒ [tex]=5 \ units[/tex]
Now,
The total trail length will be:
= [tex]RS+ST[/tex]
= [tex]5+5[/tex]
= [tex]10 \ units[/tex]
