# Geometry Puzzle – Challenge 77

This is a great math puzzle and critical thinking challenge that is sure to get you thinking!

## Challenge:

What is the perimeter of the inscribed equilateral triangle, if the diameter of the circle above is 4?

A- $$4\sqrt{2}$$

B- $$4\sqrt{3}$$

C- $$6\sqrt{2}$$

D- $$6\sqrt{3}$$

E- 12

### The Absolute Best Book to challenge your Smart Student!

Since, CD is 2 (the hypotenuse of the triangle CDE), DE is 1 and CE is $$\sqrt{3}$$. Why?
Therefore, BC is $$2\sqrt{3}$$ and the perimeter of the triangle ABC is
$$3 × 2\sqrt{3} = 6\sqrt{3}$$