1987 AIME Problems/Problem 9

Problem

Triangle $\displaystyle ABC$ has right angle at $\displaystyle B$ , and contains a point $\displaystyle P$ for which $\displaystyle PA = 10$ , $\displaystyle PB = 6$ , and $\displaystyle \angle APB = \angle BPC = \angle CPA$ . Find $\displaystyle PC$ .

Solution

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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
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1987 AIME Problems/Problem 9

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