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Prove that the area of an equilateral...

Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.

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To prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals, we can follow these steps: ### Step 1: Define the Square and Its Side Let the side length of the square ABCD be \( x \). Thus, we have: - \( AB = BC = CD = DA = x \)
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