Question

What is the distance between the following points? A. 5B. 7 C. Square root of 12D. Square root of 28

Answer 1

SOLUTION

The coordinates of the given points are

(4, 2) and (8, 5)

To find the distance between the two points, we use the distance formula

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

Applying the formula we have

$\begin{gathered} d=\sqrt{(8-4)^2+(5-2)^2} \\ d=\sqrt{4^2+3^2} \\ d=\sqrt{16+9} \\ d=\sqrt{25} \\ d=5 \end{gathered}$

Hence the answer is 5