SOLUTION: Angle C is the right angle. In right △ABC, m∠B = 30°. Also, AB = 16 radical 3 and AD bisects ∠BAC Find BD

Question 1193846: Angle C is the right angle. In right △ABC, m∠B = 30°. Also, AB = 16 radical 3
and AD bisects ∠BAC
Find BD
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this
AB is 16 sqrt(3), the hypotenuse.
In this 30-60-90 rt triangle, AC is therefore 8 sqrt(3), half the hypotenuse.
That makes BC 16
so BD is 8
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Also, triangle ACD has a 30 degree angle with adjacent side 8 sqrt(3). That makes the opposite side 8 sqrt(3)/sqrt(3) or 8.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Angle C is the right angle. In right △ABC, m∠B = 30°. Also, AB = 16 radical 3
and AD bisects ∠BAC
Find BD

Correct answer: BD = 16 units
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