Difference between revisions of "1987 AIME Problems/Problem 15"

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== Problem ==
 
== Problem ==
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Squares <math>\displaystyle S_1</math> and <math>\displaystyle S_2</math> are inscribed in right triangle <math>\displaystyle ABC</math>, as shown in the figures below. Find <math>\displaystyle AC + CB</math> if area <math>\displaystyle (S_1) = 441</math> and area <math>\displaystyle (S_2) = 440</math>.
  
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[[Image:AIME_1987_Problem_15.png]]
 
== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|num-b=14|after=Last<br />Question}}
 
{{AIME box|year=1987|num-b=14|after=Last<br />Question}}

Revision as of 01:09, 11 February 2007

Problem

Squares $\displaystyle S_1$ and $\displaystyle S_2$ are inscribed in right triangle $\displaystyle ABC$, as shown in the figures below. Find $\displaystyle AC + CB$ if area $\displaystyle (S_1) = 441$ and area $\displaystyle (S_2) = 440$.

AIME 1987 Problem 15.png

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
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All AIME Problems and Solutions