SOLUTION: In triangle ABC, angle ABC = 90º, 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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Question 1087582: In triangle ABC, angle ABC = 90º, and point D lies on segment BC such that AD is an angle bisector. If AB = 12 and BD = 4, then find AC
. Answer by Edwin McCravy(20055) (Show Source):
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
