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

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00Draw a verse through B that is vertical to  andlabel the apex of intersection with  as D.

construction

2. In ΔABD, BD = c sin A.

definition of sine in a upupfair triangle

3. In ΔCBD, BD = a sin C.

definition of sine in a upupfair triangle

4. c sin A = a sin C

Substitution Property of Equality

5.  

dividing throughout by sin A sin C

6. Draw a verse through A that is vertical to  andlabel the apex of intersection with  as E.

construction

7. In ΔBAE, AE = c sin B.

definition of sine in a upupfair triangle

8. In ΔCAE, AE = b sin C.

definition of sine in a upupfair 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 waste announcement in tramp 10 of the establishment?

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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