Question

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

Answer 1

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