MathDB
Problems
Contests
National and Regional Contests
Kosovo Contests
Kosovo National Mathematical Olympiad
2011 Kosovo National Mathematical Olympiad
4
Find the length of AB [KMO #4, Grade 9]
Find the length of AB [KMO #4, Grade 9]
Source:
March 13, 2011
Pythagorean Theorem
geometry
geometry proposed
Problem Statement
In triangle
A
B
C
ABC
A
BC
medians of triangle
B
E
BE
BE
and
A
D
AD
A
D
are perpendicular to each other. Find the length of
A
B
‾
\overline{AB}
A
B
, if
B
C
‾
=
6
\overline{BC}=6
BC
=
6
and
A
C
‾
=
8
\overline{AC}=8
A
C
=
8
Back to Problems
View on AoPS