Question

If co-ordinates of A and B are (2,2)and (9, 11) respectively then length of line segment AB is​

Answer 1

length of AB = √[(9-2)^2 + (11-2)^2]

AB = √[ 49 + 81]

AB = √130 UNITS that is your answer!

Answer 2

Given,

Points: A (2, 2), and B (9, 11).

To find,

Length of the line segment AB.

Solution,

The distance between two points, or the length of the line segment joining the two points, when the coordinates of both the points are known, can be found using the distance formula. It is given by,

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

Where,

d = distance between the two points,

(x₁, y₁) = coordinates of 1st point, and,

(x₂, y₂) = coordinates of 2nd point.

Here, the coordinates of the given two points are,

A (2, 2), and,

B (9, 11).

Substituting these values in the above distance formula,

$d=\sqrt{(9-2)^2+(11-2)^2 }$

⇒ $d=\sqrt{(7)^2+(9)^2 }$

⇒ $d=\sqrt{49+81 }$

⇒ $d=\sqrt{130}$ units, or,

d ≈ 11.40 units.

Therefore, the length of the line segment AB is 11.40 units.