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Master Java String vs StringBuilder: Which One Should You Use for Speed? - RedTag Digital

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 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

📌 The cosine of the angle \(\theta\) opposite the shorter leg (6 cm) is:

📌 \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{8}{10} = 0.8

📌 Thus, the hypotenuse is \(c = 10\) and \(\cos \theta = 0.8\), giving:

📌 \boxed{10, \, 0.8}

📌 A circle is circumscribed around a square with side length \(5 \, \text{cm}\). What is the circumference of the circle?

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