To find the length of a side of an equilateral triangle inscribed in a circle with a radius of 2.9 m, one can draw lines from each vertex to the circle's center, creating three isosceles triangles. Each isosceles triangle has two sides equal to the radius of the circle. By calculating the internal angles of these triangles, trigonometric functions can be applied to determine the length of the third side, which corresponds to the side length of the equilateral triangle. This method effectively utilizes the properties of isosceles triangles and trigonometry to solve the problem. The final calculation yields the side length of the triangle based on the given radius.