Statement reason 1. draw a line through b that is perpendicular to and label the point of intersection with as d. construction 2. in δabd, bd = c sin a. definition of sine in a right triangle 3. in δcbd, bd = a sin c. definition of sine in a 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 δbae, ae = c sin b. definition of sine in a right triangle 8. in δcae, ae = b sin c. definition of sine in a right triangle 9. c sin b = b sin c substitution property of equality 10. dividing throughout by sin b sin c 11. transitive property of equality what is the missing statement in step 10 of the proof? given: δabc with ab = c, bc = a, ac = b prove: