Difference between revisions of "1962 AHSME Problems/Problem 23"

(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...")
 
(Problem)
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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"