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Home » Deep Blue Sea: The Unsolved Tragedy That’s Going Viral Worldwide! - Midis

Deep Blue Sea: The Unsolved Tragedy That’s Going Viral Worldwide! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Final answer: $ oxed{-\sqrt{3}} $

📌 Question: In a triangle with side lengths 13, 14, and 15 units, find the length of the longest altitude.

📌 s = rac{13 + 14 + 15}{2} = 21

📌 Area $ A $ is:

📌 A = \sqrt{21(21 - 13)(21 - 14)(21 - 15)} = \sqrt{21 \cdot 8 \cdot 7 \cdot 6}

📌 = \sqrt{21 \cdot 8 \cdot 42} = \sqrt{7056} = 84

📌 The altitude to a side is $ h = rac{2A}{ ext{base}} $. To find the longest altitude, use the shortest side, since altitude is inversely proportional to the base. The shortest side is 13, so:

📌 h_{ ext{longest}} = rac{2 \cdot 84}{13} = rac{168}{13}

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