28 views
Let $M$ be the midpoint of the median $A D$ of a triangle $A B C$. Line $B M$ meets side $A C$ at $N$. Prove that $A B$ is tangent to the circumcircle of triangle $N B C$ if and only if the equality $\frac{B M}{M N}=\frac{B C^2}{B N^2}$ holds.
| 28 views

0 answers
0 answers
0 answers
0 answers
1 answer
0 answers
0 answers
0 answers
0 answers
0 answers
0 answers
0 answers
0 answers
0 answers
0 answers