Respuesta :

 The perimeter is 30 for this answer I just did this yesterday. What you do is look at the top of the triangle the other side of where 6 is at is congruent and you do the same for 4 and 5 

Answer:

The perimeter of triangle ABC is 30 units.

Step-by-step explanation:

Given information: AC, CB and BA are tangents.

According to the property of tangents from the same external point, the tangent segments to a circle are equal.

Using this property we can say that

[tex]AD=FA=5units[/tex]

[tex]EB=FB=4units[/tex]

[tex]DC=CE=6units[/tex]

The perimeter of triangle ABC is

[tex]perimeter=AC+CB+BA[/tex]

[tex]perimeter=AD+DC+CE+EB+BF+FA[/tex]

[tex]perimeter=5+6+6+4+4+5=30[/tex]

Therefore the perimeter of triangle ABC is 30 units.

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