Question

(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

Answer 1

`D=10 \ units`

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

`D=√((y_2-y_1)^2+(x_2-x_1)^2)`

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

`x_1=-7,y_1=3,x_2=3,y_2=3`

Then, applying the formula

`D=√((3-3)^2+(3+7)^2)`

`D=√(100)`

`\boxed{D=10 \ units}`

Answer 2

`d_R_T=10\ units`

Explanation:

we know that

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

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have the coordinates

R(−7, 3) and T(3, 3)

substitute in the formula

`d=\sqrt{(3-3)^(2)+(3+7)^(2)}`

`d=\sqrt{(0)^(2)+(10)^(2)}`

`d_R_T=10\ units`