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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
The angles of...
Question
The angles of
△
A
B
C
are in
A
.
P
and
a
:
b
:
c
=
1
:
2
:
3
, then find
∠
A
,
∠
B
,
∠
C
.
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Solution
L
e
t
t
h
e
a
n
g
l
e
s
b
e
x
,
2
x
a
n
d
3
x
S
o
,
x
+
2
x
+
3
x
=
180
o
=
>
6
x
=
180
o
=
>
x
=
30
o
S
o
t
h
e
a
n
g
l
e
s
a
r
e
30
o
60
o
90
o
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Similar questions
Q.
If angles
A
,
B
and
C
of a triangle
A
B
C
are in A.P,if
b
c
=
√
3
√
2
,then find angle
A
Q.
If
a
,
b
,
c
are in A.P. and
a
,
c
−
b
,
b
−
a
are in G.P.
(
a
≠
b
≠
c
)
,
then
a
:
b
:
c
is
Q.
If
a
,
b
,
c
are in A.P. and
a
,
c
−
b
,
b
−
a
are in G.P., where
a
≠
b
≠
c
, then
a
:
b
:
c
is ___.
Q.
In
Δ
A
B
C
the sides opposite to angles
A
,
B
,
C
are denoted by
a
,
b
,
c
respectively.
If
a
:
b
:
c
=
√
3
:
1
:
1
,
then the triangle is?
Q.
STATEMENT 1: In a
Δ
A
B
C
, if the sides
a
,
b
,
c
are in
A
.
P
.
, then
a
cos
2
C
2
+
c
cos
2
A
2
=
3
b
STATEMENT 2: In a
Δ
A
B
C
,
if
∠
A
,
∠
B
,
∠
C
are in
A
.
P
., then
∠
B
=
π
3
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