Question

sa se calculeze aria pătratului abcd ştiind ca B(1,2) şi D(2,-3)

Answer 1

$BD = \sqrt{ {(x_{D}-x_{B})}^{2} +{(y_{D}-y_{B})}^{2} }$

$BD = \sqrt{ {(2 - 1)}^{2} + {( - 3 - 2)}^{2} }$

$BD = \sqrt{ {1}^{2} + {( - 5)}^{2} }$

$BD = \sqrt{1 + 25}$

$BD = \sqrt{26}$

$BD=d=l\sqrt{2}$

$\sqrt{26}=l\sqrt{2}$

$l=\frac{\sqrt{26}}{\sqrt{2}}$

$l=\sqrt{13}$

$A={l}^{2}={(\sqrt{13})}^{2}=13$