Difference between revisions of "1996 AIME Problems/Problem 15"
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== Problem == | == Problem == | ||
| + | In parallelogram <math>ABCD</math>, let <math>O</math> be the intersection of diagonals <math>\overline{AC}</math> and <math>\overline{BD}</math>. Angles <math>CAB</math> and <math>DBC</math> are each twice as large as angle <math>DBA</math>, and angle <math>ACB</math> is <math>r</math> times as large as angle <math>AOB</math>. Find the greatest integer that does not exceed <math>1000r</math>. | ||
== Solution == | == Solution == | ||
Revision as of 16:24, 24 September 2007
Problem
In parallelogram 
, let 
be the intersection of diagonals 
and 
. Angles 
and 
are each twice as large as angle 
, and angle 
is 
times as large as angle 
. Find the greatest integer that does not exceed 
.
Solution
See also
| 1996 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Final Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
