Difference between revisions of "2000 AIME II Problems/Problem 8"
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== Problem == | == Problem == | ||
− | + | In trapezoid <math>ABCD</math>, leg <math>\overline{BC}</math> is perpendicular to bases <math>\overline{AB}</math> and <math>\overline{CD}</math>, and diagonals <math>\overline{AC}</math> and <math>\overline{BD}</math> are perpendicular. Given that <math>AB=\sqrt{11}</math> and <math>AD=\sqrt{1001}</math>, find <math>BC^2</math>. | |
== Solution == | == Solution == |
Revision as of 19:31, 11 November 2007
Problem
In trapezoid , leg
is perpendicular to bases
and
, and diagonals
and
are perpendicular. Given that
and
, find
.
Solution
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See also
2000 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |