MathDB
DB bisects segment CT, tagnet to circle related

Source: Switzerland - Swiss MO 2014 p10

July 16, 2020
geometrycirclebisects segment

Problem Statement

Let kk be a circle with diameter ABAB. Let CC be a point on the straight line ABAB, so that BB between AA and CC lies. Let TT be a point on kk such that CTCT is a tangent to kk. Let ll be the parallel to CTCT through AA and DD the intersection of ll and the perpendicular to ABAB through TT. Show that the line DBDB bisects segment CTCT.
Back to ProblemsView on AoPS