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Home » World Series Game 7 Explosion: Comeback Never Happened—Here’s Why! - Moon Smoking

World Series Game 7 Explosion: Comeback Never Happened—Here’s Why! - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Here, $ a = 10 $, $ b = 10 $, $ c = 12 $, and $ A = 48 $:

📌 Question: A chemical engineer in Israel is modeling the geometry of a biofuel reactor shaped like a right triangle with legs of length $ a $ and $ b $, and hypotenuse $ c $. If the radius of the inscribed circle is $ r $, what is the ratio of the area of the inscribed circle to the area of the triangle? Express your answer in terms of $ r $ and $ c $.

📌 We express $ a + b $ in terms of $ r $ and $ c $:

📌 Now, the altitude to the hypotenuse is found using the same area formula, with hypotenuse as the base:

📌 Thus, the altitude to the hypotenuse is:

📌 Solution: A regular hexagon can be divided into 6 equilateral triangles. Let $ s $ be the side length. The area of one such triangle is:

📌 Multiplying both sides by $ x $ gives:

📌 But if $ b = 0 $, then $ a + b = a - b $, and the original expression is undefined when $ a = b $, but here $ b = 0 $, so $ a

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