2004.8

Part of Ukraine Correspondence MO - geometry

Problems(1)

ratio of areas AEGH/ABCD in trapezoid ABCD, midpoints

Source: 2004 All-Ukrainian Correspondence MO of magazine ''In the World of Mathematics'', grades 5-11 p8

The extensions of the sides

AB

CD

of the trapezoid

ABCD

intersect at point

E

H

G

the midpoints of

BD

AC

. Find the ratio of the area

AEGH

ABCD

geometryratiotrapezoidareasUkraine Correspondence