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Spain Contests
Spain Mathematical Olympiad
1970 Spain Mathematical Olympiad
3
3
Part of
1970 Spain Mathematical Olympiad
Problems
(1)
area bisector of triangle wanted passing through a random point on a side
Source: Spanish Mathematical Olympiad 1970 P3
12/4/2022
An arbitrary triangle
A
B
C
ABC
A
BC
is given and a point
P
P
P
lies on the side
A
B
AB
A
B
. It is requested to draw through
P
P
P
a line that divides the triangle into two figures of the same area.
geometry
equal areas
areas