document.write( "Question 1193846: Angle C is the right angle. In right △ABC, m∠B = 30°. Also, AB = 16 radical 3
\n" ); document.write( " and AD bisects ∠BAC
\n" ); document.write( "Find BD
\n" ); document.write( "

Algebra.Com's Answer #826042 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Draw this
\n" ); document.write( "AB is 16 sqrt(3), the hypotenuse.
\n" ); document.write( "In this 30-60-90 rt triangle, AC is therefore 8 sqrt(3), half the hypotenuse.
\n" ); document.write( "That makes BC 16
\n" ); document.write( "so BD is 8
\n" ); document.write( "-
\n" ); document.write( "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.
\n" ); document.write( "
\n" );