KöMaL 2010 B4286
The leg of an isosceles right angled triangle is 36 units long. Starting at the right-angled vertex on one of the legs, an infinite sequence of regular triangles is drawn. One side of each triangle lies on the leg and the third vertex lies on the hypotenuse. The sides on the leg link together and cover the whole leg. Find the total area of the regular triangles.
Official text KöMaL. Quoted with source.
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