Question

Calculate the distance between point A and point B on the
Cartesian plane in the diagram below.

Answer 1

Answer:

6√2

Step-by-step explanation:

A(1,7) , B(5,1)

distance formula = √[(x2-x1)^2 + (y2-y1)^2]

= √[(5-1)^2 + (1-7)^2]

= √[(4)^2 + (-6)^2]

= √[16+36]

= √52

Distance between point A and B is √52 .

Answer 2

Answer:

Step-by-step explanation:

Co-ordinate of A is equal to ( 1,7) i.e. (x1,y1)

Co-ordinate of b is equal to (5,1) i.e.

(x2,y2)

By using distance formula:

Length of ab is equal to √(y2-y1)²+(x2-x1)²

=> AB=√(1-7)²+(5-1)²

=> AB=√(-6)²+(4)²

=√36+16

=√52

Hence, Length of AB=√52 units.