4

Part of 2002 Flanders Junior Olympiad

Problems(1)

Sliding triangles

Source: flanders '02

Two congruent right-angled isosceles triangles (with baselength 1) slide on a line as on the picture. What is the maximal area of overlap? http://www.mathlinks.ro/Forum/album_pic.php?pic_id=287

geometrytrapezoid