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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!
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!
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