Difference between revisions of "2005 AMC 8 Problems/Problem 21"
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*Note: We are assuming that there are no degenerate triangles in this problem, and that is why we subtract two. | *Note: We are assuming that there are no degenerate triangles in this problem, and that is why we subtract two. | ||
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+ | ==Video solution== | ||
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+ | https://www.youtube.com/watch?v=XQS-KVW1O6M | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2005|num-b=20|num-a=22}} | {{AMC8 box|year=2005|num-b=20|num-a=22}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 11:30, 23 October 2022
Contents
[hide]Problem
How many distinct triangles can be drawn using three of the dots below as vertices?
Solution
The number of ways to choose three points to make a triangle is . However, two* of these are a straight line so we subtract to get .
- Note: We are assuming that there are no degenerate triangles in this problem, and that is why we subtract two.
Video solution
https://www.youtube.com/watch?v=XQS-KVW1O6M
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.