Respuesta :

Answer:

length of segment GH will be 6.3 units.

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of points G and H are (-2, -3) and (0, 3) respectively.

From the formula of distance between two points,

Distance between the points G and H= [tex]\sqrt{(-2-0)^2+(-3-3)^2}[/tex]

                                                              = [tex]\sqrt{4+36}[/tex]

                                                              = [tex]\sqrt{40}[/tex]

                                                              = 6.32

                                                              ≈ 6.3 units

Therefore, length of segment GH will be 6.3 units.