Statement Reason 1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction 2. In ∆ABD, BD = c sin A definition of sine in right triangle 3. In ∆CBD, BD = a sin C definition of sine in right triangle 4. c sin A = a sin C Substitution Property of Equality 5. = dividing throughout by sin A sin C 6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction 7. In ∆BAE, AE = c sin B 8. In ∆CAE, AE = b sin C 9. c sin B = b sin C Substitution Property of Equality 10. = dividi

Question

Statement	Reason 1. Draw a line through B that is perpendicular to  and label the point of intersection with   as D.	construction 2. In ∆ABD, BD = c sin A	 definition of sine in right triangle 3. In ∆CBD, BD = a sin C	 definition of sine in right triangle 4. c sin A = a sin C	 Substitution Property of Equality 5.   =  	 dividing throughout by sin A  sin C 6. Draw a line through A that is perpendicular to  and label the point of intersection with   as E.	construction 7. In ∆BAE, AE = c sin B	  8. In ∆CAE, AE = b sin C	   9. c sin B = b sin C	 Substitution Property of Equality 10.   =  	 dividi