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Sagot :
Respuesta:
6 cm
Explicación paso a paso:
Paso 1: Información provista
Longitud de la hipotenusa (h): 10 cm
Longitud del cateto 1 (c₁): 8 cm
Paso 2: Calcular la longitud del cateto 2 (c₂)
Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.
h² = c₁² + c₂²
c₂² = h² - c₁²
c₂ = √(h² - c₁²)
c₂ = √((10 cm)² - (8 cm)²) = 6 cm
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