Difference between revisions of "1998 AJHSME Problems/Problem 4"
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How many triangles are in this figure? (Some triangles may overlap other triangles.) | How many triangles are in this figure? (Some triangles may overlap other triangles.) | ||
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* [[AJHSME Problems and Solutions]] | * [[AJHSME Problems and Solutions]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
| + | {{MAA Notice}} | ||
Latest revision as of 23:28, 4 July 2013
Problem
How many triangles are in this figure? (Some triangles may overlap other triangles.)
![[asy] draw((0,0)--(42,0)--(14,21)--cycle); draw((14,21)--(18,0)--(30,9)); [/asy]](http://latex.artofproblemsolving.com/3/2/7/327a158c0b3121fc280fe990d693e3f0e7065b18.png)
Solution
By inspection, we have that there 
triangles: Each of the 
small triangles, 
medium triangle made of the rightmost two small triangles, and the large triangle.
See also
| 1998 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 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. 
