For Victor

Geometry Level 2

Let A A be a circle of radius 3 2 3\sqrt{2} , draw square B B so that all of its vertices touch the circumference of A A , draw circle C C inside B B , and draw equilateral triangle D D so that all of its vertices touch the circumference of C C . Then find the side length of D D . Give your answer to 3 decimal places.


The answer is 5.196.

Samuel Sturge by Samuel Sturge , 16, United Kingdom

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1 solution

Length of side of square B is 6. Radius of circle C is 3. Length of side of triangle D is 3√3=5.196.

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