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Week 1: $ 64 \times 1.125 = 72 $ - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Assuming \(b = 8\) (from solving the quadratic equation derived from area), then:

📌 h = \sqrt{100 - 16} = \sqrt{84} \approx 9.165

📌 The new height \(h'\) becomes:

📌 h' = \sqrt{100 - \frac{(8+4)^2}{4}} = \sqrt{100 - 36} = \sqrt{64} = 8

📌 \frac{1}{2} \times 12 \times 8 = 48

📌 Thus, the area does not increase, and the change is:

📌 A right triangle has legs of lengths \(6 \, \text{cm}\) and \(8 \, \text{cm}\). Compute the length of the hypotenuse and find the cosine of the angle opposite the shorter leg.

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