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8
Trapezoid
Trapezoid
Source:
December 9, 2005
geometry
trapezoid
ratio
quadratics
trigonometry
algebra
quadratic formula
Problem Statement
In trapezoid
A
B
C
D
,
ABCD,
A
BC
D
,
leg
B
C
‾
\overline{BC}
BC
is perpendicular to bases
A
B
‾
\overline{AB}
A
B
and
C
D
‾
,
\overline{CD},
C
D
,
and diagonals
A
C
‾
\overline{AC}
A
C
and
B
D
‾
\overline{BD}
B
D
are perpendicular. Given that
A
B
=
11
AB=\sqrt{11}
A
B
=
11
and
A
D
=
1001
,
AD=\sqrt{1001},
A
D
=
1001
,
find
B
C
2
.
BC^2.
B
C
2
.
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