C) gregorio compro un terreno en forma triangular para utilizar como jardín sus coordenadas son D(-2,1),E(3,2) y F (5,-5) determina los metros de malla que necesita para cercarla. ayudanme porfavo d) determina el area que tendra el jardin de gregorio del inciso anterior
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Ответ:
C) Se requiere 21.599 metros de malla para cercar el terreno.
D) El jardín de Gregorio tiene un área de 18.505 metros cuadrados.
Explanation:
C) Por Geometría sabemos que el perímetro de una figura geométrica es la suma de todos sus lados, que en el caso del triángulo queda representado por:
Donde:
Ahora, podemos ampliar la ecuación al utilizar la fórmula de longitud de una línea, procedente de la Geometría Analítica. Calculamos la longitud de cada lado:
Si sabemos que
,
y
, las longitudes de los lados del triángulo son:
Finalmente, el perímetro requerido para cercar el terreno es:
Se requiere 21.599 metros de malla para cercar el terreno.
D) De la Geometría tenemos que el área del triángulo puede calcularse con la siguiente fórmula:
Donde:
Si tenemos que
,
y
, entonces:
El jardín de Gregorio tiene un área de 18.505 metros cuadrados.
Ответ: