Question

Finding the distance formula (3,8) (9,10)

Answer 1

The distance between any two points is given (using the Pythagoras's theorem) by the formula

`d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}`

Now, in our case

`(x_1-x_2)=9-3=6`

and

`(y_1-y_2)=10-8=2`

Therefore, the distance between the two points is

`d=\sqrt[]{(6^2+(2)^2)}`
`\textcolor{#FF7968}{d=2\sqrt[]{10}\approx6.3}`