Question

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he use? (6 points)

Answer 1

D=√((7-1)^2+(4-3)^2)=√37

Answer 2

Answer:  $\sqrt{(7-1)^2+(4-1)^2}$

Step-by-step explanation:

Since, by the distance formula,

The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

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

Therefore, the distance between EF is,

$\sqrt{(7-1)^2+(4-1)^2}$

Which is the required expression,

$EF=\sqrt{(6)^2+(3)^2}$

$EF=\sqrt{36+9}$

$EF=\sqrt{45} \text{ unit}$