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Home » Start by rewriting the logarithmic equation in exponential form: - Appcentric

Start by rewriting the logarithmic equation in exponential form: - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \[ \text{Área} = \sqrt{45(45-25)(45-30)(45-35)} = \sqrt{45 \times 20 \times 15 \times 10} = \sqrt{135000} \approx 367.42 \, \text{ft}^2 \]

📌 La altitud más corta es desde el vértice opuesto al lado más largo (35 pies):

📌 \[ \text{Altitud} = \frac{2 \times \text{Área}}{35} = \frac{2 \times 367.42}{35} \approx 21.02 \, \text{ft} \]

📌 La altitud más corta es aproximadamente \(\boxed{21.02}\) pies.

📌 Pregunta: Un geógrafo estudia una zona costera triangular donde el mar retira su línea de costa, formando un triángulo con lados de 10 km, 17 km y 21 km. ¿Cuál es el radio del círculo inscrito en esta forma retráctil?

📌 Solución: Primero, calcula el semiperímetro:

📌 \[ s = \frac{10 + 17 + 21}{2} = 24 \, \text{km} \]

📌 Luego, encuentra el área usando la fórmula de Herón:

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