MathDB

A parallelogram

ABCD

is split by the diagonal

BD

into two equal triangles. A regular hexagon is inscribed into the triangle

ABD

so that two of its consecutive sides lie on

AB

and

AD

and one of its vertices lies on

BD

. Another regular hexagon is inscribed into the triangle

CBD{}

so that two of its consecutive vertices lie on

CB

and

CD

and one of its sides lies on

BD

. Which of the hexagons is bigger?
Konstantin Knop

Problem Statement