SOLUTION: In triangle ABC, angle ABC = 90�, and point D lies on segment BC such that AD is an angle bisector. If AB = 12 and BD = 4, then find AC .

Question 1087582: In triangle ABC, angle ABC = 90�, and point D lies on segment BC such that AD is an angle bisector. If AB = 12 and BD = 4, then find AC
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Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!




Since AD is the angle bisector of ∠BAC, ∠BAC = 2∠BAD.

Use formula 



And since also 





, (which means, incidentally that DC = 5)

By the Pythagorean theorem:













Edwin

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