Respuesta :

The length of the line segment here is 13.

Distance Formula: 
√((x₂ - x₁)² + (y₂ - y₁))
√((5 - 0)² + (0 - 12)²) = 13

Answer:

The length of line segment is 13 units

Step-by-step explanation:

Given the line segment AB.

we have to find the length of line segment.

The coordinates of A and B are (0, 12) and (5, 0) respectively.

By distance formula,

[tex]\text{The distance between the points }A(x_1,y_1)\text{ and } B(x_2, y_2)[/tex]

[tex]AB=\sqrt{(x_2-x_1)^2+y_2-y_1)^2}[/tex]

[tex]AB=\sqrt{(5-0)^2+(0-12)^2}[/tex]

[tex]AB=\sqrt{25+144}=\sqrt{169}=13 units[/tex]

Hence, the length of line segment is 13 units.