Difference between revisions of "1986 AIME Problems/Problem 9"

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== Problem ==
 
== Problem ==
 
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In <math>\displaystyle \triangle ABC</math>, <math>\displaystyle AB= 425</math>, <math>\displaystyle BC=450</math>, and <math>\displaystyle AC=510</math>. An interior point <math>\displaystyle P</math> is then drawn, and segments are drawn through <math>\displaystyle P</math> parallel to the sides of the triangle. If these three segments are of an equal length <math>\displaystyle d</math>, find <math>\displaystyle d</math>.
 
== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [[1986 AIME Problems]]
 
* [[1986 AIME Problems]]
  
 
{{AIME box|year=1986|num-b=8|num-a=10}}
 
{{AIME box|year=1986|num-b=8|num-a=10}}

Revision as of 21:22, 10 February 2007

Problem

In $\displaystyle \triangle ABC$, $\displaystyle AB= 425$, $\displaystyle BC=450$, and $\displaystyle AC=510$. An interior point $\displaystyle P$ is then drawn, and segments are drawn through $\displaystyle P$ parallel to the sides of the triangle. If these three segments are of an equal length $\displaystyle d$, find $\displaystyle d$.

Solution

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See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions