Respuesta :

Answer:

16 cm

Step-by-step explanation:

Since all sides of a square are equal

Side x can be gotten using pythagoras theorem

  • hypothanous² = adjacent² + opposite²

  • [tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]

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