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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2018 India PRMO
13
13
Part of
2018 India PRMO
Problems
(1)
2018 preRMO p13 computational, median in right triangle
Source:
8/7/2019
In a triangle
A
B
C
ABC
A
BC
, right angled at
A
A
A
, the altitude through
A
A
A
and the internal bisector of
∠
A
\angle A
∠
A
have lengths
3
3
3
and
4
4
4
, respectively. Find the length of the median through
A
A
A
.
geometry
right triangle
median