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Home » Die Volumenformel lautet \( V = \textLänge \times \textBreite \times \textHöhe \). - Redraw

Die Volumenformel lautet \( V = \textLänge \times \textBreite \times \textHöhe \). - Redraw

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 An equilateral triangle has an area of \( 36\sqrt{3} \) square centimeters. If each side of the triangle 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:

📌 Given \( A = 36\sqrt{3} \), we solve for \( s \):

📌 \frac{\sqrt{3}}{4} s^2 = 36\sqrt{3}

📌 s^2 = 144 \quad \Rightarrow \quad s = 12

📌 If each side is decreased by 2 cm, the new side length is \( 10 \) cm. The new area \( A' \) is:

📌 A' = \frac{\sqrt{3}}{4} \times 10

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