Difference between revisions of "2004 AMC 12B Problems/Problem 24"
(+ <asy> not to scale) |
m (A more accurate diagram...) |
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size(120); | size(120); | ||
defaultpen(0.7); | defaultpen(0.7); | ||
− | pair A = (0,0), D = (5*2^.5/3,0), C = (10*2^.5/3,0), B = (5*2^.5/3,5*2^.5), E = ( | + | pair A = (0,0), D = (5*2^.5/3,0), C = (10*2^.5/3,0), B = (5*2^.5/3,5*2^.5), E = (13*2^.5/3,0); |
draw(A--D--C--E--B--C--D--B--cycle); | draw(A--D--C--E--B--C--D--B--cycle); | ||
label(" | label(" |
Revision as of 09:21, 29 April 2008
Problem
In ,
, and
is an altitude. Point
is on the extension of
such that
. The values of
,
, and
form a geometric progression, and the values of
form an arithmetic progression. What is the area of
?
![[asy] size(120); defaultpen(0.7); pair A = (0,0), D = (5*2^.5/3,0), C = (10*2^.5/3,0), B = (5*2^.5/3,5*2^.5), E = (13*2^.5/3,0); draw(A--D--C--E--B--C--D--B--cycle); label("\(A\)",A,S); label("\(B\)",B,N); label("\(C\)",C,S); label("\(D\)",D,S); label("\(E\)",E,S); [/asy]](http://latex.artofproblemsolving.com/c/5/a/c5ae6e04f0710cb08f0e10ffc47a0f257844910e.png)
Solution
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See also
2004 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 23 |
Followed by Problem 25 |
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 AMC 12 Problems and Solutions |