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Home » r = \frac3 + \sqrt1413 - jntua results

r = \frac3 + \sqrt1413 - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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.

📌 The hypotenuse \(c\) of the right triangle can be found using the Pythagorean theorem:

📌 c = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10

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