Question

Find the length of segment AB​

Answer 1

AB = 10.77 units

Explanation:

If the extreme ends of a line segment are
`(x_1,y_1)` and
`(x_2, y_2)`.

Then the length of the segment joining these extreme ends will be,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).

Measure of AB =
`√((7+3)^2+(5-1)^2)`

AB =
`√(100+16)`

AB =
`√(116)`

AB = 10.77 units

Therefore, length of the segment AB will be 10.77 units.