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If BD=1,DC=2,AB=2,what must AC equal for the line segment AD to be an angle bisector?
(Show the correct, neat and understandable calculation steps to get the answer to this question)


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If BD1DC2AB2what must AC equal for the line segment AD to be an angle bisectorShow the correct neat and understandable calculation steps to get the answer to th class=

Respuesta :

Answer:

AC = 4

Step-by-step explanation:

For AD to be an angle bisector then it divides the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BD}{DC}[/tex] , substitute values

[tex]\frac{2}{AC}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AC = 4

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