Hexa-split
Which of the areas shown in the hexagons are equal to each other?
Age
11 to 14
Challenge level
Problem
Image
The three regular hexagons are all the same size. X, Y and Z denote the values of the shaded areas in the hexagons as shown.
Which of these areas are equal to each other?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
X=Y=Z
The shaded area in Y is clearly half the area of the hexagon and the diagram below demonstrates why the shaded areas in X and Z are also both equal to half the area of the hexagon
Image
