Question

What is the length of segment GH?

Answer 1

`√(80)`

Explanation:

To calculate the distance GH use the distance formula

GH = √ ( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = G(0, - 3) and (x₂, y₂ ) = H(8, 1)

GH =
`√((8-0)^2+(1+3)^2)`

=
`√(64+16)` =
`√(80)`

Answer 2

`√(80)` units

Explanation:

We have to find the length of segment GH.

Since coordinates of G and H are G(0, 3) and H(8, 1)

Now we know if coordinates of the end points of a line segment have been given then length of the segment will be

`\sqrt{(x-x')^(2)+(y-y')^(2)}`

`\sqrt{(8-0)^(2)+(1+3)^(2)}`

`√(64+16)`

`√(80)` units

Option c
`√(80)` units is the answer.