Question

What is the missing statement in step 6 ??????? Please just give the answer

Answer 1

CSin(B) = bSin(C) is the missing statement

Answer 2

Answer:

(C)  $c(sin(B))=b(sin(C))$  

Step-by-step explanation:

Given: In ΔABC, AD⊥BC.

To prove: $\frac{sinB}{b}=\frac{sinC}{c}$

Proof:

Statement                                     Reason

1. In ΔABC, AD⊥BC.                      Given

2. In ΔADB, $sinB=\frac{h}{c}$              Definition of sine

3. $c(sinB)=h$                            Multiplicative property of equality

4. In ΔACD, $sinC=\frac{h}{b}$              Definition of sine

5.  $b(sinC)=h$                            Multiplicative property of equality

6. $c(sin(B))=b(sin(C))$              Substitution

7. $\frac{sinB}{b}=\frac{sinC}{c}$   Division property of equality.

Hence proved.

Therefore, option C is correct.