Difference between revisions of "1987 AIME Problems/Problem 9"
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== Problem == | == Problem == | ||
| + | Triangle <math>\displaystyle ABC</math> has right angle at <math>\displaystyle B</math>, and contains a point <math>\displaystyle P</math> for which <math>\displaystyle PA = 10</math>, <math>\displaystyle PB = 6</math>, and <math>\displaystyle \angle APB = \angle BPC = \angle CPA</math>. Find <math>\displaystyle PC</math>. | ||
| + | [[Image:AIME_1987_Problem_9.png]] | ||
== Solution == | == Solution == | ||
| − | + | {{solution}} | |
== See also == | == See also == | ||
* [[1987 AIME Problems]] | * [[1987 AIME Problems]] | ||
{{AIME box|year=1987|num-b=8|num-a=10}} | {{AIME box|year=1987|num-b=8|num-a=10}} | ||
Revision as of 00:52, 11 February 2007
Problem
Triangle 
has right angle at 
, and contains a point 
for which 
, 
, and 
. Find 
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1987 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 | ||
