First, draw the equilateral triangle ABC, and its altitude AI. Extend the sides AB and AC in such way that the extended parts to be equal in length with the length of these sides. Extend also the altitude AI in such way that the extended part to be twice in length as the altitude length. Label their end points , started from the point C, respectively with D, K, and G. From points D, K, and G, draw the parallel lines to BG, BC, and CD. Label their intersections respectively with E and F. A hexagon is formed, the hexagon BCDEFG, where its sides are equal in length with the length sides of the equilateral triangle ABC.
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Put one angle of each triangle at the center of the hexagon.
A hexagon has 6 sides, all equal to one another, which means it has symmetry. Simply fold the hexagon until it makes a triangle _ / \ \_/
You Cant. Because A Hexagon Is A Six Sided Shape. And An Equilateral Triangle Is Equal. So You Can Because Everything (As In Sides And Angles Will Be Congruent)
Infinitely many. When you have one equilateral triangle, you can join up the midpoints of its sides to make into 4 more equilateral triangles. And then each one of those can be split up and so on.
No. It is not possible to make a equilateral triangle that is obtuse.