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The Fastest Way to Master Genshin Tier Rankings — STACK MASSIVE POWER NOW! - ClickBalance

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Question: A cave formation is modeled as a right triangle with a hypotenuse of $ 25 $ m and an inscribed circle of radius $ 5 $ m. What is the ratio of the area of the circle to the area of the triangle?

📌 Solution: Let the hypotenuse be $ z = 25 $ m, and the inradius be $ c = 5 $ m. For a right triangle, the area $ A $ is given by:

📌 Also, the inradius $ r $ of a right triangle is:

📌 Given $ r = 5 $, we have:

📌 a + b - 25 = 10 \Rightarrow a + b = 35

📌 Now, use the Pythagorean theorem:

📌 a^2 + b^2 = 25^2 = 625

📌 We now solve the system $ a + b = 35 $, $ a^2 + b^2 = 625 $. Use identity:

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