Question

Find the distance between the points (13, 20) and (18, 8).

Answer 1

Distance  = sqrt (13-18)^2 + (20-8)^2 )

               =   sqrt ( 5^2 + 12^2)

               =   sqrt 169   = 13

Answer 2

Answer: 13 units

Step-by-step explanation:

The distance formula to calculate distance between two points (a,b) and (c,d) is given by :-

$d=\sqrt{(d-b)^2+(c-a)^2}$

Given points : (13, 20) and (18, 8)

Now, the distance between the points (13, 20) and (18, 8)is given by ;-

$d=\sqrt{(8-20)^2+(18-13)^2}\\\\\Rightarrow\ d=\sqrt{(-12)^2+(5)^2}\\\\\Rightarrow\ d=\sqrt{144+25}\\\\\Rightarrow\ d=\sqrt{169}\\\\\Rightarrow\ d=13\text{units}$

Hence, the distance between the points (13, 20) and (18, 8) is 13 units.