MathDB
IOQM 2023-24 P-24

Source:

September 3, 2023
geometrytrapezoid

Problem Statement

A trapezium in the plane is a quadrilateral in which a pair of opposite sides are parallel. A trapezium is said to be non-degenerate if it has positive area. Find the number of mutually non-congruent, non-degenerate trapeziums whose sides are four distinct integers from the set {5,6,7,8,9,10}\{5,6,7,8,9,10\}