Question

HDW calculate distance on the coordinate grid?

Audio included
Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?
42.14
CD
= ?

Answer 1

CD = 10 units

Explanation:

Coordinates of the given points are A(2, 14), B(2, 3), C(4, 2) and D(14, 2).

Distance between the two points
`(x_1,y_1)` and
`(x_2,y_2)` is given by the formula,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Distance between the two points C(4, 2) and D(14, 2) will be,

CD =
`√((14-4)^2+(2-2)^2)`

=
`√((10)^2)`

= 10 units

Therefore, distance between C and D is 10 units.