Difference between revisions of "1986 AIME Problems/Problem 9"
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== Problem == | == Problem == | ||
− | + | 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 == | ||
− | + | {{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 20:22, 10 February 2007
Problem
In , , , and . An interior point is then drawn, and segments are drawn through parallel to the sides of the triangle. If these three segments are of an equal length , find .
Solution
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See also
1986 AIME (Problems • Answer Key • Resources) | ||
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 |