Difference between revisions of "Talk:2005 AMC 10A Problems/Problem 23"

 
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The givens and the answer choices don't correspond. My solution gives A = 600, but the answer is supposed to be 1/3. I think AF should be much less than 20, but I can't find a copy of the actual question. Can anybody clarify? --[[User:I like pie|I_like_pie]] 22:30, 4 May 2007 (EDT)
 
The givens and the answer choices don't correspond. My solution gives A = 600, but the answer is supposed to be 1/3. I think AF should be much less than 20, but I can't find a copy of the actual question. Can anybody clarify? --[[User:I like pie|I_like_pie]] 22:30, 4 May 2007 (EDT)
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The answer choices are correct, but the problem isn't. The problem should read:
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Let <math>AB</math> be a diameter of a circle and let <math>C</math> be a point on <math>AB</math> with <math>2\cdot AC=BC</math>. Let <math>D</math> and <math>E</math> be points on the circle such that <math>DC \perp AB</math> and <math>DE</math> is a second diameter. What is the ratio of the area of <math>\Delta DCE</math> to the area of <math>\Delta ABD</math>?
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--[[User:Xantos C. Guin|Xantos C. Guin]] 10:59, 6 May 2007 (EDT)

Latest revision as of 10:59, 6 May 2007

The givens and the answer choices don't correspond. My solution gives A = 600, but the answer is supposed to be 1/3. I think AF should be much less than 20, but I can't find a copy of the actual question. Can anybody clarify? --I_like_pie 22:30, 4 May 2007 (EDT)

The answer choices are correct, but the problem isn't. The problem should read:

Let $AB$ be a diameter of a circle and let $C$ be a point on $AB$ with $2\cdot AC=BC$. Let $D$ and $E$ be points on the circle such that $DC \perp AB$ and $DE$ is a second diameter. What is the ratio of the area of $\Delta DCE$ to the area of $\Delta ABD$?

--Xantos C. Guin 10:59, 6 May 2007 (EDT)