document.write( "Question 1087690: In triangle ABC, AB = 9, BC = 12, AC = 15, and CD is the angle bisector. Find the length of CD. \n" ); document.write( "
Algebra.Com's Answer #702001 by addingup(3677)![]() ![]() You can put this solution on YOUR website! AB = c = 9 \n" ); document.write( "BC = a = 12 \n" ); document.write( "AC = b = 15 \n" ); document.write( "Let CD be d, this is the length of this bisector. \n" ); document.write( "------------------------------------- \n" ); document.write( "Length of angle bisector theorem: \n" ); document.write( "d^2 = [ab/(a+b)^2]((a+b)^2-c^2) \n" ); document.write( "where a, b, and c are the sides opposite A, B and C respectively. \n" ); document.write( "Substitute with your numbers: \n" ); document.write( "d^2 = [(12(15))/(12+15)^2]((12+15)^2-9^2) use your calculator and you get: \n" ); document.write( "d^2 = 160 \n" ); document.write( "take the square root on both sides: \n" ); document.write( "d = 12.65 \n" ); document.write( "------------------------ \n" ); document.write( "Did you draw it? I did, it's the first thing you should do whenever possible. \n" ); document.write( " |