To find the length of AB, we use the distance formula between two points (x₁, y₁) and (x₂, y₂): D = √((x₂ − x₁)² + (y₂ − y₁)²) Step 1: Identify the coordinates of points A and B. Point A is (2, 3), so x₁ = 2 and y₁ = 3. Point B is (5, 3), so x₂ = 5 and y₂ = 3. Step 2: Substitute the coordinates into the distance formula. AB = √((5 − 2)² + (3 − 3)²) Step 3: Simplify the expression. AB = √((3)² + (0)²); AB = √(9 + 0); AB = √(9); AB = 3 The length of AB is 3 units.

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Full length of AB.

August 12, 2026Mathematics

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Answer

\text{3 units}

Step-by-step solution

3 steps

To find the length of AB, we use the distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ :

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

Identify the coordinates of points A and B.
Point A is $(2, 3)$ , so $x_1 = 2$ and $y_1 = 3$ .
Point B is $(5, 3)$ , so $x_2 = 5$ and $y_2 = 3$ .
Substitute the coordinates into the distance formula.
$AB = \sqrt{(5 - 2)^2 + (3 - 3)^2}$
Simplify the expression.
$AB = \sqrt{(3)^2 + (0)^2}$ $AB = \sqrt{9 + 0}$ $AB = \sqrt{9}$ $AB = 3$
The length of AB is $\text{3 units}$ .