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Fantom [35]
3 years ago
8

The verticles of a triangle are A(1,2), B(3,4), and (4,1) What is the length of the shortest side

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0
Check the picture below.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&A&(~ 1 &,& 2~) 
%  (c,d)
&B&(~ 3 &,& 4~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AB=\sqrt{(3-1)^2+(4-2)^2}\implies AB=\sqrt{2^2+2^2}
\\\\\\
AB=\sqrt{2\cdot 2^2}\implies AB=2\sqrt{2}

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