Question

Given the graph below, find GH.

Answer 1

Answer:

$GH = 6.3$ (nearest tenth)

Step-by-step explanation:

Given:

G(-2, -3)

H(0, 3)

Required:

Distance between point G and H = GH

Solution:

Distance between G(-2, -3) and H(0, 3):

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

Let,

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

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

$GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}$

$GH = \sqrt{(2)^2 + (6)^2}$

$GH = \sqrt{4 + 36} = \sqrt{40}$

$GH = 6.3$ (nearest tenth)