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:
`√((7-1)^2+(4-1)^2)`

Explanation:

Since, by the distance formula,

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

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Therefore, the distance between EF is,

`√((7-1)^2+(4-1)^2)`

Which is the required expression,

`EF=√((6)^2+(3)^2)`

`EF=√(36+9)`

`EF=√(45) \text{ unit}`