a.) Prove that for n=4 or n≥6 each triangle ABC can be decomposed in n similar (not necessarily congruent) triangles.
b.) Show: An equilateral triangle can neither be composed in 3 nor 5 triangles.
c.) Is there a triangle ABC which can be decomposed in 3 and 5 triangles, analogously to a.). Either give an example or prove that there is not such a triangle. geometrysimilar trianglescombinatorics unsolvedcombinatorics