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Prove that the triangle is right angled - [ILL 1971]
Prove that the triangle is right angled - [ILL 1971]
Source:
January 1, 2011
trigonometry
Problem Statement
Let
A
,
B
,
A, B,
A
,
B
,
and
C
C
C
denote the angles of a triangle. If
sin
2
A
+
sin
2
B
+
sin
2
C
=
2
\sin^2 A + \sin^2 B + \sin^2 C = 2
sin
2
A
+
sin
2
B
+
sin
2
C
=
2
, prove that the triangle is right-angled.
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