Question

Find the distance between the points (8,0) and (3,4)

Answer 1

To determine the distance between both points (green line) you have to draw them in the cartesian system and then draw a rigth triangle whose hypotenuse will be the length needed.

From the graphic you can calculate the values for the base and height of the triangle:

base= X2-X1= 8-3=5

height= Y1-Y2= 4-0= 4

Then apply the pythagoras theorem to calculate the hypotenuse of the triangle:

`a^2+b^2=c^2`

a= base

b= height

c= hypotenuse

`\begin{gathered} (5)^2+(4)^2=c^2 \\ c^2=41 \\ c=√(41)=6.40 \end{gathered}`

The distance between points (8,0) and (3,4) is equal to 6.40