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Mathematics — Applications And Interp.
Mathematics — Applications and Interp.
Problem
In triangle
A
B
C
ABC
A
B
C
, the sides are given by
a
=
x
2
+
x
+
1
a = x^{2} + x + 1
a
=
x
2
+
x
+
1
,
b
=
2
x
+
1
b = 2x + 1
b
=
2
x
+
1
, and
c
=
x
2
−
1
c = x^{2} - 1
c
=
x
2
−
1
, where
x
>
1
x > 1
x
>
1
. Prove that the largest angle of the
△
i
s
\triangle is
△
i
s
120
∘
120^{\circ}
12
0
∘
.
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