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