Plane geometry, circle diameter inside equilateral triangle

Question

Inside an equilateral triangle is a circle. Calculate the diameter of the circle 𝑑 knowing that the side length of the triangle is 20.8.

Tips: The angle bisectors cross at the center of the circle and the center divides the bisector in a ratio of 1:2.

Give the answer in one decimal place.


Please show the work! - So I can write it down to help with future problems like this.

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