Question

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT of the polygon?

Answer 1

The distance between any two points can be found using the Pythagorean Theroem...

d^2=(x2-x1)^2+(y2-y1)^2 in this case

d^2=(2-2)^2+(1--6)^2

d^2=0+49

Since d>0

d=7 units

Answer 2

The length of Side RT of the polygon is
`7\ 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

`R(-6,2)\\T(1,2)`

substitute the values

`d=\sqrt{(2-2)^(2)+(1+6)^(2)}`

`d=\sqrt{(0)^(2)+(7)^(2)}`

`dRT=7\ units`