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![\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ 8}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[8-(-2)]^2+[2-3]^2}\implies d=\sqrt{(8+2)^2+(2-3)^2} \\\\\\ d=\sqrt{10^2+(-1)^2}\implies d=\sqrt{101}](/tpl/images/0468/1282/fc9db.png)
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