MathDB
IOQM P30 2024

Source:

September 8, 2024
geometryperimeter

Problem Statement

Let ABCABC be a right-angled triangle with B=90\angle B = 90^{\circ}. Let the length of the altitude BDBD be equal to 1212. What is the minimum possible length of ACAC, given that ACAC and the perimeter of triangle ABCABC are integers?