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Byju's Answer
Standard VII
Mathematics
1D and 2D Figures
If A B and C ...
Question
If A B and C are three angles of a triangles in a relation cosA+cosB+cosC=3/2 . Then prove that the triangle is equilateral
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Similar questions
Q.
If A, B, C be the angles of a triangle, then prove that
∣
∣ ∣
∣
−
1
c
o
s
C
c
o
s
B
c
o
s
C
−
1
c
o
s
A
c
o
s
B
c
o
s
A
−
1
∣
∣ ∣
∣
= 0
Q.
STATEMENT 1: In a
Δ
A
B
C
,
if
A
,
B
,
C
are in
A
.
P
. and triangle is equilateral, then
cos
A
+
2
cos
B
+
cos
C
=
2
.
STATEMENT 2: In a
Δ
A
B
C
, if
A
,
B
,
C
are in
A
.
P
. and
cos
A
+
cos
B
+
cos
C
=
2
,
then the triangle is isosceles.
Q.
For a triangle ABC, prove that
c
o
s
A
+
c
o
s
B
+
c
o
s
C
≤
3
/
2.
In case of equility, triangle will be equilateral.
Q.
If
cos
A
+
cos
B
+
cos
C
=
3
2
, then show that the triangle is equilateral.
Q.
If A, B, C are angles of a triangles, then cos A + cos B + cos C is equal to