Difference between revisions of "1994 AIME Problems/Problem 6"
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== Problem == | == Problem == | ||
+ | The graphs of the equations | ||
+ | <center><math>y=k, \qquad y=\sqrt{3}x+2k, \qquad y=-\sqrt{3}x+2k,</math></center> | ||
+ | are drawn in the coordinate plane for <math>k=-10,-9,-8,\ldots,9,10.\,</math> These 63 lines cut part of the plane into equilateral triangles of side <math>2/\sqrt{3}.\,</math> How many such triangles are formed? | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
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== See also == | == See also == | ||
− | + | {{AIME box|year=1994|num-b=5|num-a=7}} | |
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Revision as of 22:28, 28 March 2007
Problem
The graphs of the equations
are drawn in the coordinate plane for These 63 lines cut part of the plane into equilateral triangles of side How many such triangles are formed?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
1994 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |