Question

One way to inscribe an equilateral triangle in a circle is to first inscribe a(n)

Answer 1

The answer is a Hexagon.

Explanation:

The steps to inscribe an equilateral triangle in a circle is the same process like inscribing a hexagon inside the circle.

After inscribing a hexagon, we use every alternate vertex of the hexagon to draw an equilateral triangle. The equilateral triangle thus formed will be the biggest equilateral triangle that will fit in that circle. The edges of the triangle will touch the circle.

Therefore, one way to inscribe an equilateral triangle in a circle is to first inscribe a HEXAGON.

Answer 2

... first inscribe a hexagon.

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The triangle will connect alternate vertices of the hexagon.