Difference between revisions of "2002 AMC 10B Problems/Problem 17"

(New page: 17. A regular octagon <math>ABCDEFGH</math> has sides of length two. Find the area of <math>\triangle ADG</math>. <math>\textbf{(A) } 4 + 2\sqrt2 \qquad \textbf{(B) } 6 + \sqrt2\qquad \t...)
 
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17. A regular octagon <math>ABCDEFGH</math> has sides of length two.  Find the area of <math>\triangle ADG</math>.
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== Problem ==
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A regular octagon <math>ABCDEFGH</math> has sides of length two.  Find the area of <math>\triangle ADG</math>.
  
 
<math>\textbf{(A) } 4 + 2\sqrt2 \qquad \textbf{(B) } 6 + \sqrt2\qquad \textbf{(C) } 4 + 3\sqrt2 \qquad \textbf{(D) } 3 + 4\sqrt2 \qquad \textbf{(E) } 8 + \sqrt2</math>
 
<math>\textbf{(A) } 4 + 2\sqrt2 \qquad \textbf{(B) } 6 + \sqrt2\qquad \textbf{(C) } 4 + 3\sqrt2 \qquad \textbf{(D) } 3 + 4\sqrt2 \qquad \textbf{(E) } 8 + \sqrt2</math>
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== Solution ==
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{{solution}}
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== See Also ==
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{{AMC10 box|year=2002|ab=B|num-b=16|num-a=18}}

Revision as of 07:41, 2 February 2009

Problem

A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\triangle ADG$.

$\textbf{(A) } 4 + 2\sqrt2 \qquad \textbf{(B) } 6 + \sqrt2\qquad \textbf{(C) } 4 + 3\sqrt2 \qquad \textbf{(D) } 3 + 4\sqrt2 \qquad \textbf{(E) } 8 + \sqrt2$

Solution

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See Also

2002 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 16
Followed by
Problem 18
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All AMC 10 Problems and Solutions