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britorre7609
28.05.2020 •
Mathematics
Consider the diagram and the proof below.
1
2
Reason
given
def of sine
Given: In AABC, AD IBC
sin()
Prove: sin(B)
Statement
1 In AABC, AD.LBC
2
In SADB, sin(B) -
3 csin(B) -
4
In SACD, Sin(C)-
5. bsin(C)-
6 2
7 Sin(B) sin(C)
b
с
3
4
mult prop. of equality
def of sine
C
5
6
7
mult prop. of equality
substitution
div. prop of equality
A
b
What is the missing statement in Step 6?
h
Ob=c
a
D
В
O csin(B) = bsin(C)
Obsin(B) = csin(C)
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