Difference between revisions of "2009 AMC 8 Problems/Problem 9"
Mrdavid445 (talk | contribs) (Created page with "==Problem== Construct a square on one side of an equilateral triangle. One on non-adjacent side of the square, construct a regular pentagon, as shown. One a non-adjacent side of...") |
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<math>\textbf{(A)} 21 \qquad \textbf{(B)} 23 \qquad \textbf{(C)} 25 \qquad \textbf{(D)} 27 \qquad \textbf{(E)} 29 </math> | <math>\textbf{(A)} 21 \qquad \textbf{(B)} 23 \qquad \textbf{(C)} 25 \qquad \textbf{(D)} 27 \qquad \textbf{(E)} 29 </math> | ||
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| + | ==See Also== | ||
| + | {{AMC8 box|year=2009|num-b=8|num-a=10}} | ||
Revision as of 16:52, 5 November 2012
Problem
Construct a square on one side of an equilateral triangle. One on non-adjacent side of the square, construct a regular pentagon, as shown. One a non-adjacent side of the pentagon, construct a hexagon. Continue to construct regular polygons in the same way, until you construct an octagon. How many sides does the resulting polygon have?
![[asy] defaultpen(linewidth(0.6)); pair O=origin, A=(0,1), B=A+1*dir(60), C=(1,1), D=(1,0), E=D+1*dir(-72), F=E+1*dir(-144), G=O+1*dir(-108); draw(O--A--B--C--D--E--F--G--cycle); draw(O--D, dashed); draw(A--C, dashed);[/asy]](http://latex.artofproblemsolving.com/d/4/a/d4a192b1c509fea9e4f0b63b29b58c056ff0a1ab.png)
See Also
| 2009 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 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 | ||
