Question 23
In a triangle $$ABC$$, the median $$AD$$ divides $$\angle BAC$$ in the ratio $$1:2$$. Extend $$AD$$ to $$E$$ such that $$EB$$ is perpendicular to $$AB$$. Given that $$BE=3$$, $$BA=4$$, find the integer nearest to $$BC^{2}$$.
Correct Answer: 29
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