Question

Calcule a distância entre os pontos A e B, sabendo que suas coordenadas são A (2,5) e B (– 5, – 2).​

Answer 1

$\large\boxed{\begin{array}{l} \sf{d_{AB }=\sqrt{(x_{A} -x_{B})^{2}+(y_{A} -y_{B})^{2}}} \\ \sf d_{AB } = \sqrt{(2 - ( - 5)) {}^{2} + (5 - ( - 2)) {}^{2} } \\ \sf d_{AB } = \sqrt{(2 + 5) {}^{2} + (5 + 2) {}^{2} } \\ \sf d_{AB } = \sqrt{7 {}^{2} + 7 {}^{2} } \\ \sf d_{AB } = \sqrt{49 + 49} \\ \sf d_{AB } = \sqrt{98} \end{array}}$ $\huge\boxed{\boxed{\boxed{\boxed{\sf{ \: \: d_{AB }\approx 10 \: \: }}}}} \checkmark$