?
What is the total area in blue knowing that the area of the large triangle isImage credit and problem source : wolfram
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
This pattern (not including the gray areas) is infinitely repeated in the diagram:
and since it is 9 parts blue congruent triangles to 1 2 parts total congruent triangles, the total area is A = 1 2 9 ⋅ 1 = 4 3 .