Question

qual a distancia entre os pontos 3,6 -7,2 e 3,6 -5,-2 preciso do calculo.

Answer 1

Olá!!!

Resolução!!

1)

A ( 3, 6 ) e B ( -7, 2 )
`````````````_________________
AB = √( x2 - x1 )² + ( y2 - y1 )²
`````````````_______________
AB = √( - 7 - 3 )² + ( 2 - 6 )²
`````````````____________
AB = √( - 10 )² + ( - 4 )²
`````````````_______
AB = √100 + 16

AB = √116

116 | 2
58 | 2
29 | 29
1

√116 → √2² • 29 → 2 • √29 → 2√19

AB = √116

AB = 2√29 u. c

2)

A ( 3, 6 ) e B ( - 5, - 2 )
`````````````_________________
AB = √( x2 - x1 )² + ( y2 - y1 )²
`````````````________________
AB = √( - 5 - 3 )² + ( - 2 - 6 )²
`````````````____________
AB = √( - 8 )² + ( - 8 )²
`````````````_______
AB = √64 + 64

AB = √128

128 | 2
64 | 2
32 | 2
16 | 2
8 | 2
4 | 2
2 | 2
1

√128 → √6² • 2 → 6 • √2 → 6√2

AB = √128

AB = 6√2 u. c

Espero ter ajudado!