2 parallel lines and a rhombus
Source: III Soros Olympiad 1996-97 R1 10.6 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
May 29, 2024
geometryrhombus
Problem Statement
There is a rhombus with acute angle and side . Two parallel lines, the distance between which is equal to the height of the rhombus, intersect all four sides of the rhombus. What can be the sum of the perimeters of two triangles cut off from a rhombus by straight lines? (These two triangles lie outside the strip between parallel lines.)