Question

De

termine a distancia entre os pontos: a) (7;3)e (4;-1) b) (-1;0)e(-3;2) c) (-1;-2)e(3;-4)

Answer 1

Aplicar:  $D= \sqrt{ ( x_{b}- x_{a}) ^{2}+ ( y_{b}- y_{a} )^{2} }$

a)
$D= \sqrt{ (4-7) ^{2}+ (-1- 3 )^{2} } \\ \\ D= \sqrt{ (-3)^{2}+(-4)^{2} } \\ \\ D= \sqrt{9+16} = \sqrt{25} \\ \\ D=5$

b)
$D= \sqrt{ (-3-(-1)) ^{2}+ (2- 0 )^{2} } \\ \\ D= \sqrt{( -3+1)^{2}+ 2^{2} } \\ \\ D= \sqrt{4+4} = \sqrt{8} \\ \\ D=2,83$

c)
$D= \sqrt{ (3-(-1)) ^{2}+ (-4- (-2) )^{2} } \\ \\ D= \sqrt{ (3+1)^{2}+ (-4+2)^{2} } \\ \\ D= \sqrt{ 4^{2}+(-2)^{2} } = \sqrt{16+4} = \sqrt{20} \\ \\ D=4,47$