1. Find the distance of a line segment with endpoints G (4,9) and H (7,1). about 8.5 units about 10.4 units about 3.6 units about 7.8 units

Question

asked May 9, 2022 71.4k views

1 Answer

Ilse · Answer 1 · 2022-05-14T18:50:03+0000

Answer:

a) d = 8.5 units

The distance of a line segment with end points

d = 8.5 units

Explanation:

Step(i):-

Given points are G(4,9) and H( 7,1)

By using distance formula

G H =
$\sqrt{x_(2)-x_(1) )^(2) +(y_(2) -y_(1) )^(2) }$

Step(ii):-

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

d =
$\sqrt{3)^(2) +(-8 )^(2) } = √(9+64) = √(73)$

d = 8.5 units