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Byju's Answer
Standard VII
Mathematics
Angle Sum Property
In ABC , 2a...
Question
In
â–³
A
B
C
,
2
a
c
sin
(
A
−
B
+
C
2
)
is equal to :
A
a
2
+
b
2
−
c
2
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B
c
2
+
a
2
−
b
2
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C
b
2
−
a
2
−
c
2
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D
c
2
−
a
2
−
b
2
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Solution
The correct option is
B
c
2
+
a
2
−
b
2
In
△
A
B
C
,
A
+
B
+
C
=
180
o
.....
(
i
)
Consider,
2
a
c
sin
(
A
−
B
+
C
2
)
=
2
a
c
sin
(
180
o
−
2
B
2
)
..... From
(
i
)
=
2
a
c
sin
(
90
o
−
B
)
=
2
a
c
cos
B
......
[
∵
sin
(
90
−
x
)
=
cos
x
]
=
a
2
+
c
2
−
b
2
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Similar questions
Q.
In a
â–³
A
B
C
,
2
c
a
s
i
n
(
A
−
B
+
C
2
)
is equal to