2

Part of 2010 Flanders Math Olympiad

Problems(1)

trisection of diagonal by perp. in # with 60^o (2010 VWO Flanders MO p3)

Source:

A parallelogram with an angle of

60^o

a

as the longest side and a shortest side

b

. Let's take the perpendiculars down from the vertices of the obtuse angles to the longest diagonal, then it is divided into three equal parts. Determine the ratio

\frac{a}{b}

geometryparallelolgramratiotrisection