Question

What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?

Answer 1

length : $\sf \sqrt{89}$

Explanation:

use the distance formula : $\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

• using the formula:

$\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}$

$\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}$

$\sf \rightarrow \sf \sf \sqrt{64+25}$

$\sf \rightarrow \sf \sf \sqrt{89}$

Answer 2

Answer:

$\sf \sqrt{89}$

Step-by-step explanation:

Let A = $\sf (x_1,y_1)$ = (-1, 9)

Let B = $\sf (x_2,y_2)$ = (7, 4)

Distance formula:

$\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Input values into the distance formula and solve for d:

$\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}$

$\sf \implies d=\sqrt{8^2+(-5)^2}$

$\sf \implies d=\sqrt{64+25}$

$\sf \implies d=\sqrt{89}$