<A > <C, <D > < B => BC> AD/2
Source: TOT 342 1992 Autumn O J4 S4 - Tournament of Towns
June 10, 2024
geometrygeometric inequalityangles
Problem Statement
(a) In triangle , angle is greater than angle . Prove that the length of side is greater than half the length of side . (b) In the convex quadrilateral , the angle at is greater than the angle at and the angle at is greater than the angle at . Prove that the length of side is greater than half of the length of side .(F Nazarov)