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MathNet 2017-part-07 — 172 problems (EN–VI) Question 102

Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)

Question 102

Triangle $A B C$ has $A B=10$, $B C=17$, and $C A=21$. Point $P$ lies on the circle with diameter $A B$. What is the greatest possible area of $A P C$?