Respuesta :

the length of segment AB is 13


Answer:

The length of segment AB is 13 units.

Step-by-step explanation:

Formula

[tex]Distance\ Formula = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]

As shown in the diagram points of A (0,12) and B (5,0) .

Putting the value in the formula

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

[tex]AB = \sqrt{(25+ 144)}[/tex]

[tex]AB = \sqrt{169}[/tex]

[tex]\sqrt{169}= 13[/tex]

AB = 13 units

Therefore the length of segment AB is 13 units.

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