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}$