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Problems
Contests
National and Regional Contests
Mexico Contests
Mexico National Olympiad
1990 Mexico National Olympiad
2
2
Part of
1990 Mexico National Olympiad
Problems
(1)
right ABC, altitiude BH, relation between 3 inradii wanted
Source: Mexican Mathematical Olympiad 1990 OMM P2
7/29/2018
A
B
C
ABC
A
BC
is a triangle with
∠
B
=
9
0
o
\angle B = 90^o
∠
B
=
9
0
o
and altitude
B
H
BH
B
H
. The inradii of
A
B
C
,
A
B
H
,
C
B
H
ABC, ABH, CBH
A
BC
,
A
B
H
,
CB
H
are
r
,
r
1
,
r
2
r, r_1, r_2
r
,
r
1
,
r
2
. Find a relation between them.
geometry
right triangle
inradius