MathDB
convex pentagon ABCD fits in a circle with radius 2/3 AD

Source: 2022 Czech-Polish-Slovak Match Junior, individual p3 CPSJ

September 3, 2022
geometrypentagon

Problem Statement

Given is a convex pentagon ABCDEABCDE in which ∠A=60o\angle A = 60^o, ∠B=100o\angle B = 100^o, ∠C=140o\angle C = 140^o. Show that this pentagon can be placed in a circle with a radius of 23AD\frac23 AD.
Back to ProblemsView on AoPS