MathDB
Problems
Contests
National and Regional Contests
Romania Contests
Romania Team Selection Test
1978 Romania Team Selection Test
5
A locus contained in an equilateral triangle
A locus contained in an equilateral triangle
Source: Romanian TST 1978, Day 3, P5
September 30, 2018
geometry
Pure geometry
Locus
Problem Statement
Find locus of points
M
M
M
inside an equilateral triangle
A
B
C
ABC
A
BC
such that
∠
M
B
C
+
∠
M
C
A
+
∠
M
A
B
=
π
/
2.
\angle MBC+\angle MCA +\angle MAB={\pi}/{2}.
∠
MBC
+
∠
MC
A
+
∠
M
A
B
=
π
/
2
.
Back to Problems
View on AoPS