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The Best Wireless Gaming Headset of 2025—Experts Are Loss Control! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A right triangle has legs measuring 8 cm and 15 cm. Find the radius of the circle inscribed in the triangle.

📌 First, compute the hypotenuse \(c\) using the Pythagorean theorem:

📌 c = \sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17 \text{ cm}

📌 A = \frac{1}{2} \times 8 \times 15 = 60 \text{ square cm}

📌 s = \frac{8 + 15 + 17}{2} = 20 \text{ cm}

📌 r = \frac{A}{s} = \frac{60}{20} = 3 \text{ cm}

📌 Thus, the radius of the inscribed circle is \(\boxed{3}\) cm.**Question:** Compute \(\tan 45^\circ + \tan 30^\circ\) and express your answer in simplest form.

📌 To solve \(\tan 45^\circ + \tan 30^\circ\), we first find the values of \(\tan 45^\circ\) and \(\tan 30^\circ\).

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