Question

What is the length of segment GH?

Answer 1

Answer:

$\sqrt{80}$ units

Step-by-step 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

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

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

$\sqrt{64+16}$

$\sqrt{80}$ units

Option c $\sqrt{80}$ units is the answer.

Answer 2

Answer:

$\sqrt{80}$

Step-by-step 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 = $\sqrt{(8-0)^2+(1+3)^2}$

     = $\sqrt{64+16}$ = $\sqrt{80}$