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Found problems: 1

2022-23 IOQM India, 23
Tags: ratio , trigonometry , geometry , ratio lemma
In a triangle $ABC$, the median $AD$ divides $\angle{BAC}$ in the ratio $1:2$. Extend $AD$ to $E$ such that $EB$ is perpendicular $AB$. Given that $BE=3,BA=4$, find the integer nearest to $BC^2$.