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Home » The smallest such \( k \) is \( oxed263 \). - ECD Germany

The smallest such \( k \) is \( oxed263 \). - ECD Germany

📅 May 4, 2026 👤 scraface

May 04, 2026

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Solution: Let the hypotenuse be $ z = 25 $ m, and the inradius be $ c...
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 ident...
\Rightarrow 2ab = 600 \Rightarrow ab = 300
A = \frac{1}{2}ab = 150
Area of the inscribed circle:

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