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Home » \[ A = \sqrts(s-13)(s-14)(s-15) \] - Esdistancia

\[ A = \sqrts(s-13)(s-14)(s-15) \] - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Thus, the circumference of the circle is $ oxed{8\sqrt{2}\pi} $ cm.

📌 Question: The area of an equilateral triangle is $ 25\sqrt{3} $ cmÂ². If each side length is increased by 4 cm, by how many square centimeters does the area increase?

📌 Solution: The area $ A $ of an equilateral triangle with side length $ s $ is:

📌 A = rac{\sqrt{3}}{4}s^2

📌 Set this equal to the given area:

📌 rac{\sqrt{3}}{4}s^2 = 25\sqrt{3}

📌 Divide both sides by $ \sqrt{3} $:

📌 rac{1}{4}s^2 = 25 \Rightarrow s^2 = 100 \Rightarrow s = 10 ext{ cm}

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