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2015 BMT Spring
3
BD^2=? <ABC=90^o,AB=12, BC=9,CD=20, DA=25, 2015 BMT Individual 3
BD^2=? <ABC=90^o,AB=12, BC=9,CD=20, DA=25, 2015 BMT Individual 3
Source:
January 3, 2022
geometry
right angle
Problem Statement
A quadrilateral
A
B
C
D
ABCD
A
BC
D
has a right angle at
∠
A
B
C
\angle ABC
∠
A
BC
and satisfies
A
B
=
12
AB = 12
A
B
=
12
,
B
C
=
9
BC = 9
BC
=
9
,
C
D
=
20
CD = 20
C
D
=
20
, and
D
A
=
25
DA = 25
D
A
=
25
. Determine
B
D
2
BD^2
B
D
2
. .
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