MathDB
2007 Guts #30: Feet of the Perpendiculars of the Cyclic Quad

Source:

June 22, 2012
geometrycircumcirclecyclic quadrilateral

Problem Statement

ABCDABCD is a cyclic quadrilateral in which AB=3AB=3, BC=5BC=5, CD=6CD=6, and AD=10AD=10. MM, II, and TT are the feet of the perpendiculars from DD to lines ABAB, ACAC, and BCBC respectively. Determine the value of MI/ITMI/IT.