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Home » perforr Y/Me Meaning: The Hidden Reason Behind Your Connection! - ToelettAPP

perforr Y/Me Meaning: The Hidden Reason Behind Your Connection! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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}

📌 The new side length is $ s + 4 = 14 $ cm. Compute the new area:

📌 A_{ ext{new}} = rac{\sqrt{3}}{4}(14)^2 = rac{\sqrt{3}}{4} \cdot 196 = 49\sqrt{3} ext{ cm}^2

📌 \Delta A = 49\sqrt{3} - 25\sqrt{3} = 24\sqrt{3} ext{ cm}^2

📌 Thus, the area increases by $ oxed{24\sqrt{3}} $ cmÂ².

📌 Question: Find the length of the longest altitude of a triangle with side lengths $ 7 $ cm, $ 10 $ cm, and $ 13 $ cm.

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