The Equilateral Triangle Wizardry
Geometry
Level
4
In an equilateral triangle \( \triangle ABC \), there is a point \( M\) in the triangle such that \( \overline{MA} : \overline{MB} : \overline{MC} \) is in the ratio \( 3:4:5\) respectively.
Find \( \angle AMB \).
by
Mohammad Al Ali