MathDB

6

Part of 2006 Hanoi Open Mathematics Competitions

Problems(2)

locus of equal areas inside a regular hexagon (HOMC 2006 Juniors Q6)

Source:

7/23/2019
The figure ABCDEFABCDEF is a regular hexagon. Find all points MM belonging to the hexagon such that
Area of triangle MAC=MAC = Area of triangle MCDMCD.
geometryhexagonLocus
another circle computational (2006 HOMC Senior Q7)

Source:

7/18/2019
On the circle of radius 3030 cm are given 22 points A,B with AB=16AB = 16 cm and CC is a midpoint of ABAB. What is the perpendicular distance from CC to the circle?
geometrycircle