Question 122
Base $\overline{BC}$ is the longest side of the isosceles triangle $ABC$. Let $M$ be a point on the side $\overline{BC}$ such that $|BM| = |AB|$. Point $N$ is the foot of the altitude from $M$ to $\overline{AB}$.
Prove that the triangle $BMN$ and the quadrilateral $ACMN$ have equal areas and equal perimeters. (United Kingdom 2018)
Prove that the triangle $BMN$ and the quadrilateral $ACMN$ have equal areas and equal perimeters. (United Kingdom 2018)