Question

find the distance between the following points A=(2,0) and B (0,4)​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

Two points,

A (2, 0),

B (0, 4).

To find,

Distance between points.

Solution,

The distance between two points (d) when the coordinates of the two are known can be determined with the help of following formula.

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

Where,

(x₁, y₁) = coordinates of the first point, and,

(x₂, y₂) = coordinates of the second point.

Here, the given points are,

A (2, 0), and B (0, 4)

Substituting the respective values (x₁ = 2, y₁ = 0) and (x₂ = 0, y₂ = 4), in the above formula, we get the distance between A and B as,

$d=\sqrt{(0-2)^2+(4-0)^2}$

⇒ $d=\sqrt{(-2)^2+(4)^2}$

⇒ $d=\sqrt{4+16}$

⇒ $d=\sqrt{20}$

⇒ d = 2√5 units.

Therefore, the value of distance between the given points A and B will be 2√5 units.