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Home » 2\sin^2\theta + \sin \theta - 1 = 0 - Baxtercollege

2\sin^2\theta + \sin \theta - 1 = 0 - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 The altitudes corresponding to each side are found using \(A = \frac{1}{2} \times \text{base} \times \text{height}\).

📌 Altitude to leg \(a = 6\):

📌 h_a = \frac{2A}{6} = \frac{48}{6} = 8 \text{ cm}

📌 Altitude to leg \(b = 8\):

📌 h_b = \frac{2A}{8} = \frac{48}{8} = 6 \text{ cm}

📌 Altitude to hypotenuse \(c = 10\):

📌 h_c = \frac{2A}{10} = \frac{48}{10} = 4.8 \text{ cm}

📌 The shortest altitude is the one to the hypotenuse: \(\boxed{4.8}\) cm.

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