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Home » Thus, the length of the altitude is \(\boxed{8 \text meters}\). - Simpleprint

Thus, the length of the altitude is \(\boxed{8 \text meters}\). - Simpleprint

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 Substitute: \( c^2 = 9^2 + 12^2 = 81 + 144 = 225 \).

📌 So, \( c = \sqrt{225} = 15 \).

📌 The sum of the first \( n \) positive integers is 210. What is \( n \)?

📌 Use the formula \( \frac{n(n+1)}{2} = 210 \).

📌 Multiply both sides by 2: \( n(n+1) = 420 \).

📌 Solve the quadratic: \( n^2 + n - 420 = 0 \).

📌 Factor: \( (n - 20)(n + 21) = 0 \).

📌 Positive solution: \( n = 20 \).

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