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Brazil Contests
Brazil National Olympiad
1993 Brazil National Olympiad
3
3
Part of
1993 Brazil National Olympiad
Problems
(1)
Construct the right-angled triangle!
Source: Problem 3, Brazil MO 1993
3/18/2006
Given a circle and its center
O
O
O
, a point
A
A
A
inside the circle and a distance
h
h
h
, construct a triangle
B
A
C
BAC
B
A
C
with
∠
B
A
C
=
9
0
∘
\angle BAC = 90^\circ
∠
B
A
C
=
9
0
∘
,
B
B
B
and
C
C
C
on the circle and the altitude from
A
A
A
length
h
h
h
.
geometry
circumcircle
congruent triangles
geometry proposed