Question

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.

Explanation:

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