Question

A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.

Answer 1

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

`D = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

(
`(x_1, y_1)` and
`(x_2, y_2)` are the two points)

The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

`D = \sqrt{(-1 - 2)^2 + (5 - 5)^2`

• Substitute values into formula

`D = √((-3)^2)`

• Combine like terms and then simplify
  `0^2` to 0

`D = √(9)`

• Compute
  `(-3)^2 = 9`

`D = 3`

• Compute
  `√(9) = 3`

The length of DC is 3.