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📅 March 15, 2026 👤 scraface

Mar 15, 2026

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

📌 \[ \text{Área} = \sqrt{24(24-10)(24-17)(24-21)} = \sqrt{24 \times 14 \times 7 \times 3} = \sqrt{7056} = 84 \, \text{km}^2 \]

📌 El radio inscrito es:

📌 \[ r = \frac{\text{Área}}{s} = \frac{84}{24} = 3.5 \, \text{km} \]

📌 El radio del círculo inscrito es \(\boxed{3.5}\) kilómetros.

📌 Nota: Si el triángulo es rectángulo, la altitud a la hipotenusa puede calcularse directamente como \( \frac{ab}{c} \), pero el problema pide la altitud al lado más largo, que es la misma que la altitud inscrita en este contexto.

📌 Corrección para precisión: Dado que el triángulo con lados 10, 17, 21 no es rectángulo, el método de Herón es correcto. El radio inscrito es el valor más relevante para el formateo de clicbait.

📌 Revisado para mayor claridad (si se busca el inradio):

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