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Byju's Answer
Standard IX
Mathematics
If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side
If in a ABC...
Question
If in a
△
A
B
C
,
b
+
c
a
=
cot
A
2
, show that
△
A
B
C
is a right-angled.
Open in App
Solution
In
△
A
B
C
,
b
+
c
a
=
cot
A
2
2
R
sin
B
+
2
R
sin
C
2
R
sin
A
=
cos
A
2
sin
A
2
sin
B
+
sin
C
2
sin
A
2
cos
A
2
=
cos
A
2
sin
A
2
⟹
2
sin
B
+
C
2
cos
B
−
C
2
2
cos
180
−
B
−
C
2
=
sin
(
90
−
A
2
)
sin
B
+
C
2
cos
B
−
C
2
sin
B
+
C
2
=
sin
B
+
C
2
⟹
sin
(
90
−
B
−
C
2
)
=
sin
B
+
C
2
⟹
180
−
B
+
C
=
B
+
C
⟹
2
B
=
180
⟹
B
=
90
So
△
A
B
C
is a right angled triangle
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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side
Standard IX Mathematics
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