Question

Dados os pontos A(4,6) e B(9,18), calcule a distância entre os pontos

Answer 1

$\large \boxed{ \begin{array}{l} \rm \: d_{AB} = \sqrt{(x_{A} -x_{B} ) {}^{2} + (y_{A} - y_B) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{(4 - 9) {}^{2} +( 6 - 18) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{( - 5) {}^{2} + ( - 12) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{25 + 144} \\ \\ \rm \: d_{AB} = \sqrt{169} \\ \\ \boxed{ \rm{d_{AB} = 13}}\end{array}}$

Answer 2

A(4,6) e B(9,18)

A(4,6)

xa=4

yb=6

B(9,18)

xb=9

yb=18

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{(4 - 9) {}^{2} + (6 - 18) {}^{2} }$

$d = \sqrt{( - 5) {}^{2} + ( - 12) {}^{2} }$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

d=>13