---

---

Inscribe an Equilateral Triangle in a Square

Determine a construction to inscribe an equilateral triangle in a square as in Figure 1. Make a GSP construction.

Figure 1

Is this the inscribed equilateral triangle that has the maximum proportion of the area of the square?

That is, consider (construct) any other inscribed equilateral triangle. Will it cover more, the same, or less of the area? For example, see Figure 2

Figure 2

Make a GSP construction.

---

Return

---