(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−7, 3) and T(3, 3). What is the length of Side RT of the polygon? what is the answer

Respuesta :

Answer:

[tex]d_R_T=10\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have the coordinates

R(−7, 3) and T(3, 3)

substitute in the formula

[tex]d=\sqrt{(3-3)^{2}+(3+7)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(10)^{2}}[/tex]

[tex]d_R_T=10\ units[/tex]

Answer:

[tex]D=10 \ units[/tex]

Step-by-step explanation:

Distance Between Two Points

Given a couple of points P1(x1,y1) and P2(x2,y2), the distance measured from any point to the other is computed by

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We take the necessary data from the points  R(-7, 3) and T(3, 3).

[tex]x_1=-7,y_1=3,x_2=3,y_2=3[/tex]

Then, applying the formula

[tex]D=\sqrt{(3-3)^2+(3+7)^2}[/tex]

[tex]D=\sqrt{100}[/tex]

[tex]\boxed{D=10 \ units}[/tex]