Question

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

Answer 1

Answer:

26 units

Step-by-step explanation:

Given:

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

Required:

Length of segment CD

SOLUTION:

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, to find the distance between endpoints C and D.

Let,

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

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

$CD = \sqrt{(11 - 1)^2 + (28 - 4)^2}$

$CD = \sqrt{(10)^2 + (24)^2}$

$CD = \sqrt{100 + 576} = \sqrt{676}$

$CD = 26$

Length of segment CD = 26 units