Question

Determine a distância entre os pontos C (2,-3) e D (4,5)

Answer 1

$C( x_{c} , y_{c} ) \\ \\ D( x_{d} , y_{d} ) \\ \\ D= \sqrt{(x_{d} -x_{c})^2+(y_{d}-y_{c})^2 } \\ \\ D= \sqrt{(4-2)^2+(5-(-3))^2} \\ \\ D= \sqrt{2^2+8^2} \\ \\ D= \sqrt{4+64} \\ \\ D= \sqrt{68} \\ \\ D= \sqrt{2^2.17} \\ \\ D=2 \sqrt{17}$