MathDB
Problems
Contests
National and Regional Contests
Ukraine Contests
Official Ukraine Selection Cycle
Kyiv City MO
Kyiv City MO - geometry
Kyiv City MO Seniors Round2 2010+ geometry
2012.10.4
2012.10.4
Part of
Kyiv City MO Seniors Round2 2010+ geometry
Problems
(1)
compare angles between altitude-median (2012 Kyiv City MO Round2 10.4)
Source:
8/2/2020
In the triangle
A
B
C
ABC
A
BC
with sides
B
C
>
A
C
>
A
B
BC> AC> AB
BC
>
A
C
>
A
B
the angles between altiude and median drawn from one vertex are considered. Find out at which vertex this angle is the largest of the three.(Rozhkova Maria)
geometry
angles
geometric inequality