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

The correct option is B.

Explanation:

The distance between two points is

`D=√((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=√((6-1)^2+(5-2)^2)`

`D=√((5)^2+(3)^2)`

`D=√(25+9)`

`D=√(34)`

`D=5.83`

`D\approx 5.8`

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