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Can you dissect an equilateral triangle into acute isosceles triangles? What is the minimum number of acute isosceles triangles that the original triangle could be dissected into?

Answer 1

I can suggest dissecting an equilateral triangle into #4# equilateral (and, therefore, isosceles) triangles by connecting three midpoints of its sides.

I do not think you can get less than #4# parts, but cannot prove it.

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Answer 2

Aurora Ayala

Yes, an equilateral triangle can be dissected into acute isosceles triangles. The minimum number of acute isosceles triangles that the original equilateral triangle could be dissected into is four.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.