MathDB
3D Geometry Problem

Source: 1992 National High School Mathematics League, Exam One, Problem 14

February 27, 2020
geometry3D geometrygeometric transformationreflection

Problem Statement

l,ml,m are skew lines. Three points A,B,CA,B,C on line ll satisfy that AB=BCAB=BC. Projection of A,B,CA,B,C on mm are D,E,FD,E,F. If ∣AD∣=15,∣BE∣=72∣CF∣=10|AD|=\sqrt{15},|BE|=\frac{7}{2}|CF|=\sqrt{10}, find the distance between ll and mm.
Back to ProblemsView on AoPS