09 Dimensions of smaller equilateral triangle inside the circle

Tags: 
circumcircle
circle
equilateral triangle

Problem
From the figure shown, ABC and DEF are equilateral triangles. Point E is the midpoint of AC and points D and F are on the circle circumscribing ABC. If AB is 12 cm, find DE.
 

Two equilateral triangles inside a circle

 

Solution

 
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