Question

Find the approximate length of segment GH on the graph.
A) 4 units
B) 5.8 units
C) 7.8 units
D) 8 units

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

The distance between two points is

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).

$D=\sqrt{(6-1)^2+(5-2)^2}$

$D=\sqrt{(5)^2+(3)^2}$

$D=\sqrt{25+9}$

$D=\sqrt{34}$

$D=5.83$

$D\approx 5.8$

The length of GH is 5.8 units. Therefore the correct option is B.