Question

What is the length of segment GH?

√48 units
8 units
√80 units
12 units

Answer 1

The answer is C, using pythagorean theorem, square both 8 and 4, which is 80, which is the answer.

Answer 2

The correct answer is C. √80 units.

Explanation:

To find the length of the line segment GH first find the coordinates of both the end points of the line G and H

Coordinates of G : (0, -3)

Coordinates of H : (8, 1)

Now, we can easily find the length of GH by using the distance formula :

`GH=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\\implies GH=√((8-0)^2+(1+3)^2)\\\\\implies GH=√(64+16)\\\\\implies\bf GH=√(80)\textbf{ units}`

Therefore, The correct answer is C. √80 units.