MathDB

Consider three parallelograms

P_1,~P_2,~ P_3

. Parallelogram

P_3

is inside parallelogram

P_2

, and the vertices of

P_3

are on the edges of

P_2

. Parallelogram

P_2

is inside parallelogram

P_1

, and the vertices of

P_2

are on the edges of

P_1

. The sides of

P_3

are parallel to the sides of

P_1

. Prove that one side of

P_3

has length at least half the length of the parallel side of

P_1

Problem Statement