Question

Determine the length of the segment with endpoints C(1, 4) and D(11, 28).

Answer 1

26 units

Explanation:

Given:

C(1, 4) and D(11, 28),

Required:

Length of segment CD

SOLUTION:

Use the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`, to find the distance between endpoints C and D.

Let,

`C(1, 4) = (x_1, y_1)`

`D(11, 28) = (x_2, y_2)`

`CD = √((11 - 1)^2 + (28 - 4)^2)`

`CD = √((10)^2 + (24)^2)`

`CD = √(100 + 576) = √(676)`

`CD = 26`

Length of segment CD = 26 units