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2014 preRMO p3, ABCD with perp. diagonals, AB=20, BC=70, CD=90, DA=?
2014 preRMO p3, ABCD with perp. diagonals, AB=20, BC=70, CD=90, DA=?
Source:
August 9, 2019
geometry
perpendicular
diagonals
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a convex quadrilateral with perpendicular diagonals. If
A
B
=
20
,
B
C
=
70
AB = 20, BC = 70
A
B
=
20
,
BC
=
70
and
C
D
=
90
CD = 90
C
D
=
90
, then what is the value of
D
A
DA
D
A
?
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