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The real solutions are the three roots of \( x - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 s = \frac{36}{3} = 12 \text{ cm}

📌 The area of the original triangle (a right triangle) is:

📌 A_{\text{original}} = \frac{1}{2} \cdot 9 \cdot 12 = 54 \text{ cm}^2

📌 The area of the equilateral triangle is:

📌 A_{\text{new}} = \frac{\sqrt{3}}{4} \cdot 12^2 = \frac{\sqrt{3}}{4} \cdot 144 = 36\sqrt{3} \text{ cm}^2

📌 The increase in area is:

📌 \Delta A = 36\sqrt{3} - 54

📌 \boxed{36\sqrt{3} - 54}

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