MathDB
bisector inside equilateral triangle

Source:

August 9, 2012
trigonometrygeometry

Problem Statement

Let ABC ABC be an equilateral triangle, take line t t such that tBC t\parallel BC and t t passes through A A . Let point D D be on side AC AC , the bisector of angle ABD ABD intersects line t t in point E E . Prove that BD=CD+AE BD = CD + AE .