Difference between revisions of "1988 AIME Problems/Problem 7"

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(Solution)
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<center>[[Image:AIME_1988_Solution_07.png]]</center>
 
<center>[[Image:AIME_1988_Solution_07.png]]</center>
  
Call <math>\angle BAD \alpha</math> and <math>\angle CAD \beta</math>.
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Call <math>\angle BAD</math> <math>\alpha</math> and <math>\angle CAD</math> <math>\beta</math>.
  
 
== See also ==
 
== See also ==

Revision as of 23:16, 20 November 2023

Problem

In triangle $ABC$, $\tan \angle CAB = 22/7$, and the altitude from $A$ divides $BC$ into segments of length 3 and 17. What is the area of triangle $ABC$?

Solution

AIME 1988 Solution 07.png

Call $\angle BAD$ $\alpha$ and $\angle CAD$ $\beta$.

See also

1988 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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