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ankoles [38]
3 years ago
8

Look at triangle ABC. What is the length of said AB of the triangle

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad 
B(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AB=\sqrt{(1-4)^2+(2-5)^2}\implies AB=\sqrt{(-3)^2+(-3)^2}
\\\\\\
AB=\sqrt{9+9}\implies \boxed{AB=\sqrt{18}}\implies  AB=\sqrt{2(9)}
\\\\\\
AB=\sqrt{2(3^2)}\implies \implies AB=3\sqrt{2}
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