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Home » Circumference = 2πr = 31.4, so r = 31.4 / (2π) ≈ 5. - Abu Waleed Tea

Circumference = 2πr = 31.4, so r = 31.4 / (2π) ≈ 5. - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Let the legs of the right triangle be \(a\) and \(b\), and the hypotenuse \(c = 10\). The radius \(r\) of the inscribed circle is given by:

📌 Given that \(r = 2\), we have:

📌 \[ 2 = \frac{a + b - 10}{2} \]

📌 \[ a + b = 14 \]

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

📌 \[ A = \frac{1}{2}ab \]

📌 Using the Pythagorean theorem:

📌 \[ a^2 + b^2 = c^2 = 100 \]

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