Question

Calcule a distância entre os pontos A(1,1) e B(3,6)

Answer 1

$dAB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$dAB=\sqrt{(3-1)^2+(6-1)^2}$

$dAB=\sqrt{2^2+5^2}$

$dAB=\sqrt{4+25}$

$dAB=\sqrt{29}$

Answer 2

$\large \boxed{ \begin{array}{l} \sf{\sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } }} \\ \\ \sf{d_{AB} = \sqrt{(1 - 3) {}^{2} + (1 - 6) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 2) {}^{2} + ( - 5) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{4 + 25} } \\ \\ \boxed{\boxed{\boxed{ \sf{d_{AB} = \sqrt{29} }}}}\end{array}}$