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Home » \( V = 3.14 imes 100 \) - Crosslake

\( V = 3.14 imes 100 \) - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 The semi-perimeter \( s = rac{8 + 15 + 17}{2} = 20 \).

📌 The radius \( r \) of the inscribed circle is given by \( r = rac{A}{s} = rac{60}{20} = 3 \).

📌 Solve for \( x \) in the equation \( \log_2(x+1) + \log_2(x-1) = 3 \).

📌 Combine logs: \( \log_2((x+1)(x-1)) = 3 \).

📌 So, \( (x+1)(x-1) = 2^3 = 8 \).

📌 Then \( x^2 - 1 = 8 \).

📌 \( x^2 = 9 \), so \( x = \pm 3 \).

📌 Since \( x-1 > 0 \), \( x > 1 \), thus \( x = 3 \).

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