MathDB

2019.10.3

Part of Kyiv City MO Seniors 2003+ geometry

Problems(1)

integer side triangles, one inside another (2019 Kyiv City MO 10.3)

Source:

9/16/2020
Call a right triangle ABCABC special if the lengths of its sides AB,BCAB, BC andCA CA are integers, and on each of these sides has some point XX (different from the vertices of △ABC \vartriangle ABC), for which the lengths of the segments AX,BXAX, BX and CXCX are integers numbers. Find at least one special triangle.
(Maria Rozhkova)
geometryIntegersTriangles