Art of Problem Solving
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1962 AHSME Problems/Problem 23: Difference between revisions

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Created page with "==Problem== In triangle <math>ABC</math>, <math>CD</math> is the altitude to <math>AB</math> and <math>AE</math> is the altitude to <math>BC</math>. If the lengths of <math>AB</m..."
 
Fadebekun (talk | contribs)
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<math>\textbf{(A)}\ \text{not determined by the information given} \qquad</math>
<math>\textbf{(A)}\ \text{not determined by the information given} \qquad</math>
<math>\textbf{(B)}\ \text{determined only if A is an acute angle} \qquad</math>  
<math>\textbf{(B)}\ \text{determined only if A is an acute angle} \qquad</math>  
<math>\textbf{(C)}\ \text{determined only if B is an acute angle} \qquad</math>  
<math>\textbf{(C)}\ \text{determined only if B is an acute angle} \qquad</math>  
<math>\textbf{(D)}\ \text{determined only in ABC is an acute triangle} \qquad</math>  
<math>\textbf{(D)}\ \text{determined only in ABC is an acute triangle} \qquad</math>  
<math>\textbf{(E)}\ \text{none of these is correct} </math>
<math>\textbf{(E)}\ \text{none of these is correct} </math>


==Solution==
==Solution==
"Unsolved"
"Unsolved"

Revision as of 21:56, 9 November 2013

Problem

In triangle $ABC$, $CD$ is the altitude to $AB$ and $AE$ is the altitude to $BC$. If the lengths of $AB$, $CD$, and $AE$ are known, the length of $DB$ is:


$\textbf{(A)}\ \text{not determined by the information given} \qquad$

$\textbf{(B)}\ \text{determined only if A is an acute angle} \qquad$

$\textbf{(C)}\ \text{determined only if B is an acute angle} \qquad$

$\textbf{(D)}\ \text{determined only in ABC is an acute triangle} \qquad$

$\textbf{(E)}\ \text{none of these is correct}$

Solution

"Unsolved"