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back to the future 2 movie cast - ECD Germany

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 An equilateral triangle has a side length of 10 cm. If each side is decreased by 2 cm, by how many square centimeters does the area decrease?

📌 The area \(A\) of an equilateral triangle with side length \(s\) is given by:

📌 The original side length is 10 cm, so the original area is:

📌 A_{\text{original}} = \frac{\sqrt{3}}{4} \times 10^2 = \frac{\sqrt{3}}{4} \times 100 = 25\sqrt{3} \text{ cm}^2

📌 The new side length is \(10 - 2 = 8\) cm. The new area is:

📌 A_{\text{new}} = \frac{\sqrt{3}}{4} \times 8^2 = \frac{\sqrt{3}}{4} \times 64 = 16\sqrt{3} \text{ cm}^2

📌 The decrease in area is:

📌 \Delta A = A_{\text{original}} - A_{\text{new}} = 25\sqrt{3} - 16\sqrt{3} = 9\sqrt{3} \text{ cm}^2

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