Area trisection

Draw two lines parallel to the base [BC] that trisect the area of triange.
Hint
Observe that that [math]AX=\sqrt{\frac{1}{3}}\cdot AB[/math]and [math]AY=\sqrt{\frac{2}{3}}\cdot AB[/math], and apply algebra to geometry.
– Anton Petrunin

Information: Area trisection