MathDB

2011.9

Part of Ukraine Correspondence MO - geometry

Problems(1)

AM = CN = a =? if B,M, N are collinear, regular hexagon

Source: 2011 All-Ukrainain Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p9

4/26/2021
On the diagonals ACAC and CECE of a regular hexagon ABCDEFABCDEF with side 11 we mark pointsM M and NN such that AM=CN=aAM = CN = a. Find aa if the points B,M,NB, M, N lie on the same line.
geometryhexagoncollinearequal segmentsUkraine Correspondence