Question

Find the distance between the two points～A ( 7 , 4 ) and B ( 3 , 2 )thankyou!​

Answer 1

Answer:

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

Answer 2

Answer:

AB = $\sqrt{20}$

Step-by-step 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 = $\sqrt{(7-3)^2+(4-2)^2}$

     = $\sqrt{4^2+2^2}$

     = $\sqrt{16+4}$

     = $\sqrt{20}$

     ≈ 4.47 ( to 2 dec. places )