p1=(5,2);p2=4,6)

Question

the distance between two points.

Answer 1

These two points are the hypotenuse of a right triangle. You can then make use of Pythagorean theorem to resolve. One leg is the vertical change (y coordinates) and the other is the horizontal change (x coordinates). (y1-y2)^2 + (x1-x2)^2 = c^2

 

(2-6)^2 + (5-4)^2 = c^2

 

(4)^2 + (1)^2 = c^2

 

16 + 1 = 17

 

So the distance is the square root of 17.

 

Hope this helps

 

 

Answer 2

you can use the Distance Formula which is the following:

the distance between two points P1(5,2) and P2(4,6) is given by the formula

P1P2=sqrt[(x2-x1)^2+(y2-y1)^2]

       =sqrt[(4-5)^2+(6-2)^2]

       =sqrt[(-1)^2+(4)^2]

       =sqrt(1+16)

       =sqrt(17)

       =4.123105