Question

Given the graph, find the distance of GH. Round to the nearest tenth.

Answer 1

GH = 6.3 units

Explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H =
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`G(-2, -3) = (x_1, y_1)`

`H(0, 3) = (x_2, y_2)`

`GH = √((0 - (-2))^2 + (3 - (-3))^2)`

`GH = √((2)^2 + (6)^2)`

`GH = √(4 + 36) = √(40)`

`GH = 6.3 units` (nearest tenth)