Question

find the distance between each pair of points (1,1), (3,3)​

Answer 1

Answer:

Question :

Find the distance between each pair of points (1,1), (3,3)

Answer :

$distance = \sqrt{ {(x2 - x1)}^{2} + {(y1 - y2)}^{2} }$

$Let \: x1 \: be \: 1 \: and \: y1 \: be \: \\ 1 \: and \: x2 \: be \: \: 3 \: and \: y2 \: be \: 3. \\ \\ \\ distance \: = \sqrt{ {(3 - 1)}^{2} + {(3 - 1)}^{2} } \\ \\ = \sqrt{ {2 }^{2} + {2}^{2} } \\ \\ = \sqrt{4 + 4} = \sqrt{8} \\ \\ therefore \: the \: distance \: between \: the \: two \: \\ points \: are \: \sqrt{8} units$

Distance between points (1, 1) and (3, 3) is √8 = 2.8284.