Question

Find the distance between the two points～

A ( 7 , 4 ) and B ( 3 , 2 )


thankyou!​

Answer 1

`distance = \sqrt{(3 - 7) ^(2) } + (2 - 4) ^(2) \\ = \: \: √(16) + 4 \\ \\ = \: \: \: \: 2 √(5)`

Answer 2

AB =
`√(20)`

Explanation:

calculate the distance using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )

AB =
`√((7-3)^2+(4-2)^2)`

=
`√(4^2+2^2)`

=
`√(16+4)`

=
`√(20)`

≈ 4.47 ( to 2 dec. places )