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India National Olympiad
1992 India National Olympiad
1
Find relation in triangle
Find relation in triangle
Source: INMO 1992 Problem 1
October 3, 2005
trigonometry
algebra
highschoolmath
trig identities
Problem Statement
In a triangle
A
B
C
ABC
A
BC
,
∠
A
=
2
⋅
∠
B
\angle A = 2 \cdot \angle B
∠
A
=
2
⋅
∠
B
. Prove that
a
2
=
b
(
b
+
c
)
a^2 = b (b+c)
a
2
=
b
(
b
+
c
)
.
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