SOLUTION: the vertices of triangle DEF are the midpoint of the sides of the equilateral triangle ABC and the perimeter of triangle ABC is 36 cm what is the length in cm of EF?

Question 554232: the vertices of triangle DEF are the midpoint of the sides of the equilateral triangle ABC and the perimeter of triangle ABC is 36 cm what is the length in cm of EF?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The length of the sides of ABC is

Connecting the midpoints of the sides of a triangle splits it into 4 similar triangles.
In the case of an equilateral triangle with sides of length 12, the similar triangles will be equilateral triangles with side lengths
.
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