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00Draw 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
00Draw a line through B that is perpendicular to andlabel 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 andlabel 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:
A.
a sin A = b sin B
B.
c sin A = b sin B
C.
D.
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