Question

What is the euclidean distance between the two data points a (3,5) and b (7,5)?

Answer 1

a(3, 5)

b(7, 5)

Find the distance:

$\text {Distance = } \sqrt{(Y_2 - Y_1)^2 + (X_2 - X_1)^2}$

$\text {Distance = } \sqrt{(5 - 5)^2 + (7-3)^2}$

$\text {Distance = } \sqrt{(0)^2 + (4)^2}$

$\text {Distance = } \sqrt{(4)^2}$

$\text {Distance = } 4 \text { units}$

Answer: The distance is 4 units

Answer 2

A ( 3 ,5 ), B ( 7 , 5 )

$ab = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ ab = \sqrt{ {(7 - 3)}^{2} + {( 5- 5)}^{2} } \\ ab = \sqrt{ { 4}^{2} + {0}^{2} } \\ ab = \sqrt{16} \\ ab = 4units$