Respuesta :

Answer:

a) d = 8.5 units

The distance of a line segment with end points

d = 8.5 units

Step-by-step explanation:

Step(i):-

Given points are G(4,9) and H( 7,1)

By using distance formula

   G H  = [tex]\sqrt{x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]

Step(ii):-

[tex]d = \sqrt{7-4 )^{2} +(1-9 )^{2} }[/tex]

d = [tex]\sqrt{3)^{2} +(-8 )^{2} } = \sqrt{9+64} = \sqrt{73}[/tex]

d = 8.5 units