Stage: 3 Challenge Level:
Lots of you wrote in to say that the areas of all the different triangles in the family was 1 square unit.
Luke of All Saints School gave the following explanation:
any 'family' of triangle with an equal bases and heights will have the
same area because the area of a triangle is (base x height)/2.
when the base and
height are always the same then the areas of the different triangles are
always the same.
here the triangles have 1 unit in the base and 2 units in the
height their area will always be 1 sq. unit.