Question 49
In a triangle $ABC$ right-angled at $C$, the median through $B$ bisects the angle between $BA$ and the bisector of $\angle B$. Prove that
$$
\frac{5}{2}\lt \frac{AB}{BC}\lt 3
$$
$$
\frac{5}{2}\lt \frac{AB}{BC}\lt 3
$$
MathNet 2007-part-02 — 187 problems (EN–VI) Question 49
Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)