Answer: AP = 7
P is the midpoint of BC, so BP = 9. By Apollonius theorem,
\[AB^2 + AC^2 = 2AP^2 + 2BP^2\] \[260 = 2AP^2 + 2 \times 81\] \[2AP^2 = 98,\quad AP^2 = 49\] \[AP = 7\]1 answer
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· 24 Oct 2026
AI-verified · Oct 2026
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