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Problem 3
side equality in triangle gives angles
side equality in triangle gives angles
Source: Serbia 2003 1st Grade P3
May 12, 2021
geometry
Triangles
Problem Statement
Let
a
,
b
a,b
a
,
b
and
c
c
c
be the lengths of the edges of a triangle whose angles are
α
=
4
0
∘
,
β
=
6
0
∘
\alpha=40^\circ,\beta=60^\circ
α
=
4
0
∘
,
β
=
6
0
∘
and
γ
=
8
0
∘
\gamma=80^\circ
γ
=
8
0
∘
. Prove that
a
(
a
+
b
+
c
)
=
b
(
b
+
c
)
.
a(a+b+c)=b(b+c).
a
(
a
+
b
+
c
)
=
b
(
b
+
c
)
.
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