RotationMethod LawOfCosines GeometricInequality PlaneGeometry AMC10/12
2014

Problem - 439
In $\triangle BAC$, $\angle BAC=40^\circ$, $AB=10$, and $AC=6$. Points $D$ and $E$ lie on $\overline{AB}$ and $\overline{AC}$ respectively. What is the minimum possible value of $BE+DE+CD$?