Question

#14
Find the length of the line segment that joins the points (2, 5) and (9, 8).

Answer 1

Hello!

Given the two points,
`(x_(1), y_(1))` and
`(x_(2), y_(2))`, to find the length between these two points is found by using the formula:

`d = \sqrt{(x_(2)-x_(1))^(2) + (y_(2)-y_(1))^(2)}`

`(x_(1), y_(1))` is assigned to one the points, the first point can be assigned to (2, 5).

`(x_(2), y_(2))` is assigned to other point, which is (9, 8).

Then, plug in these values into the formula and solve.

`d = \sqrt{(9-2)^(2)+(8-5)^(2)}`

`d = \sqrt{(7)^(2)+(3)^(2)}`

`d = √(49 + 9)`

`d = √(58)` or about
`d = 7.62`.

Therefore, the length of the line segment that joins the two points is √58.