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4
find the angles of a triangle, sums of lengths given Chile 2000 L2 p4
find the angles of a triangle, sums of lengths given Chile 2000 L2 p4
Source:
May 30, 2019
geometry
angles
Problem Statement
Let
A
D
AD
A
D
be the bisector of a triangle
A
B
C
ABC
A
BC
(
D
∈
B
C
)
(D \in BC)
(
D
∈
BC
)
such that
A
B
+
A
D
=
C
D
AB + AD = CD
A
B
+
A
D
=
C
D
and
A
C
+
A
D
=
B
C
AC + AD = BC
A
C
+
A
D
=
BC
. Determine the measure of the angles of
△
A
B
C
\vartriangle ABC
△
A
BC
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