What construction does the image below demonstrate?
a. an equilateral triangle circumscribed about a circle
b. an equilateral triangle inscribed in a circle
c. the circumcenter of an equilateral triangle
d. the incenter of an equilateral triangle

An equilateral triangle inscribed in a circle  

Step-by-step explanation:

A. An equilateral triangle circumscribed about a circle

 equilateral triangle circumscribed about a circle mean a circle inside an equilateral triangle. We don't have circle inside the triangle in our graph.

B. An equilateral triangle inscribed in a circle  

Yes equilateral triangle is inscribed in a circle BDE

C. The circumcenter of an equilateral triangle

Circumcenter is not equidistant from the vertices of triangle

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step-by-step explanation: