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Old Kyiv MO Geometry
Kyiv City MO Juniors Round2 2010+ geometry
2021.7.41
2021.7.41
Part of
Kyiv City MO Juniors Round2 2010+ geometry
Problems
(1)
perimeter of ABC>2 OC, C in <AOB =90^o (2021 Kyiv City MO Round2 7.4.1)
Source:
2/16/2021
Point
C
C
C
lies inside the right angle
A
O
B
AOB
A
OB
. Prove that the perimeter of triangle
A
B
C
ABC
A
BC
is greater than
2
O
C
2 OC
2
OC
.
geometry
perimeter
geometric inequality
right angle