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Ecuador Mathematical Olympiad (OMEC)
2017 Ecuador NMO (OMEC)
2
2
Part of
2017 Ecuador NMO (OMEC)
Problems
(1)
computational geo with perpendiculars 2017 Ecuador NMO (OMEC) 3.2
Source:
9/18/2021
Let
A
B
C
ABC
A
BC
be a triangle with
A
C
=
18
AC = 18
A
C
=
18
and
D
D
D
is the point on the segment
A
C
AC
A
C
such that
A
D
=
5
AD = 5
A
D
=
5
. Draw perpendiculars from
D
D
D
on
A
B
AB
A
B
and
B
C
BC
BC
which have lengths
4
4
4
and
5
5
5
respectively. Find the area of the triangle
A
B
C
ABC
A
BC
.
geometry
area of a triangle