Question

what is the distance of (7,8) and (9,0)

Answer 1

We need to find the distance between the following points:

(7, 8) and (9,0)

Step 1: label the coordinates

we define our x and y coordinates according to the given points as follows:

$\begin{gathered} x_1=7 \\ y_1=8 \\ x_2=9 \\ y_2=0 \end{gathered}$

Step 2: Use the Pythagorean theorem as follows to find the distance "d".

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

Step 3: Substituting our values

$\begin{gathered} d=\sqrt{(7-9)^2+(8-0)^2} \\ d=\sqrt{(-2)^2+8^2} \\ d=\sqrt{4+64} \\ d=\sqrt{68} \end{gathered}$

Step 4: simplify the square root

since 68=4x17:

$d=\sqrt{68}=\sqrt{4\times17}=2\sqrt{17}$

Answer:

$2\sqrt{17}=8.246$