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

(C)
`c(sin(B))=b(sin(C))`

Explanation:

Given: In ΔABC, AD⊥BC.

To prove:
`(sinB)/(b)=(sinC)/(c)`

Proof:

Statement Reason

1. In ΔABC, AD⊥BC. Given

2. In ΔADB,
`sinB=(h)/(c)` Definition of sine

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

4. In ΔACD,
`sinC=(h)/(b)` Definition of sine

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

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

7.
`(sinB)/(b)=(sinC)/(c)` Division property of equality.

Hence proved.

Therefore, option C is correct.