Question

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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Answer 1

AC = 4

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

`(AB)/(AC)` =
`(BD)/(DC)` , substitute values

`(2)/(AC)` =
`(1)/(2)` ( cross- multiply )

AC = 4