Question

determine as distancias entre A e B nos seguintes casos a)A (4,5) e B(2,1) b)A (0,1) e B(2,3) c)A(-1,4) e B(-2,-1) d)A(5,-1) e B(-1,5) e) A(-4,-3) e B(3,-2)

Answer 1

Usando a fórmula da distância

D² = ( xb - xa )² + ( yb - ya )²

a) A(4,5) e B(2,1)

D² = ( 2 - 4 )² + ( 1 - 5 )²

D²= ( -2 )² + ( -4 )²

D² = 4 + 16

D = √20 ... 2√5

b) A(0,1) e B(2,3)

D² = ( 2 - 0 )² + ( 3 - 1 )²

D² = 4 + 4

D = √8 ... 2√2

c) A(-1,4) e B(-2,-1)

D² = ( -2 + 1 )² + ( -1 - 4 )²

D² = 1 + 25

D = √26

d) A(5,-1) e B(-1,5)

D² = ( -1 - 5 )² + ( 5 + 1 )²

D² = 36 + 36

D = √72 ... 6√2

e) A(-4,-3) e B(3,-2)

D² = ( 3 + 4 )² + ( -2 + 3 )²

D² = 49 + 1

D = √50 ... 5√2