MathDB

1

Part of 2002 Greece Junior Math Olympiad

Problems(1)

Triangle

Source: Greece National Olympiad 2002 , Juniors , Problem 1.

11/18/2005
In the exterior of an equilateral triangle ABCABC of side α\alpha we construct an isosceles right-angled triangle ACDACD with ∠CAD=900.\angle CAD=90^0.The lines DADA and CBCB meet at point EE. (a) Find the angle ∠DBC.\angle DBC. (b) Express the area of triangle CDECDE in terms of α.\alpha. (c) Find the length of BD.BD.
geometrytrigonometry