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Home » a + b = 12 \quad \textand \quad a^2 + b^2 = 80 - DNSFLEX

a + b = 12 \quad \textand \quad a^2 + b^2 = 80 - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Is it a right triangle? If so, find the area.

📌 Check using Pythagorean theorem: \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\).

📌 Area \(= \frac{1}{2} \times 7 \times 24 = 84\) square cm.

📌 Solve for \(x\): \(2^{x+1} = 32\).

📌 \(32 = 2^5\), so \(2^{x+1} = 2^5\).

📌 Therefore, \(x + 1 = 5\).

📌 The sum of an arithmetic series is 200. The first term is 5, and the last term is 45. How many terms are there?

📌 Sum of arithmetic series \(S = \frac{n}{2}(a + l)\), where \(a = 5\), \(l = 45\), \(S = 200\).

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