Answer: BC = 18 cm
AM is a median. By Apollonius theorem,
\[AB^2 + AC^2 = 2AM^2 + 2BM^2\] \[290 = 2 \times 64 + 2BM^2\] \[2BM^2 = 162,\quad BM^2 = 81\] \[BM = 9\]BC = 2BM = 18 cm.
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· 24 Oct 2026
AI-verified · Oct 2026
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