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k = \frac339 = \frac113 - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Thus, the length of each side of the hexagon is \(\boxed{6}\).

📌 Question: A circle is inscribed in a right triangle with legs of lengths \(9\) units and \(12\) units. Find the radius of the inscribed circle.

📌 Solution: The area \(A\) of the triangle is given by:

📌 A = \frac{1}{2} \times 9 \times 12 = 54

📌 s = \frac{9 + 12 + 15}{2} = 18

📌 where \(15\) is the hypotenuse, calculated by \(c = \sqrt{9^2 + 12^2} = 15\). The radius \(r\) of the inscribed circle is given by:

📌 r = \frac{A}{s} = \frac{54}{18} = 3

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