rendak779 rendak779
  • 23-10-2021
  • Mathematics
contestada

¿Cuál es el perímetro de un rectángulo, si su diagonal mide 37 m y el ancho mide 12 m ?

Respuesta :

physicsgeniuspi physicsgeniuspi
  • 23-10-2021

Answer:

94 m

Step-by-step explanation:

Sea L definido como

L = la longitud del rectángulo, en unidades de metros.

Así, según el Teorema de Pitágoras, tenemos que

12 ^ 2 + L ^ 2 = 37 ^ 2

L ^ 2 = 37 ^ 2-12 ^ 2

L ^ 2 = (37 - 12) (37 + 12)

L ^ 2 = 25 * 49, de modo que

L = 5 * 7 = 35.

Por lo tanto, el perímetro = 2L + 2W = 2 (L + W) = 2 (35 + 12) = 2 (47) = 94 m

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