Xy has endpoints at x(2,-3) and y(-1,2). What is the length of xy

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asked Nov 20, 2018 25.6k views

3 votes

Xy has endpoints at x(2,-3) and y(-1,2). What is the length of xy

Mathematics
high-school

Cnikolaou asked

by Cnikolaou

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$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) X&({{ 2}}\quad ,&{{ -3}})\quad % (c,d) Y&({{ -1}}\quad ,&{{2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ XY=√([-1-2]^2+[2-(-3)]^2)\implies XY=√((-1-2)^2+(2+3)^2) \\\\\\ XY=√((-3)^2+5^2)\implies XY=√(34)$

Firas answered Nov 24, 2018

by Firas

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