lengths of cevians form also a geometric progression.
Source: 2021 Sharygin Finals grade IX p1
August 1, 2021
geometryCeviansCeviangeometric progressiongeometric sequence
Problem Statement
Three cevians concur at a point lying inside a triangle. The feet of these cevians divide the sides into six segments, and the lengths of these segments form (in some order) a geometric progression. Prove that the lengths of the cevians also form a geometric progression.