lexiew23 lexiew23
  • 23-03-2021
  • Mathematics
contestada

If the diagonal of a square is 12√2 cm . Find its area

Respuesta :

Muscardinus Muscardinus
  • 28-03-2021

Answer:

A = 144 cm²

Step-by-step explanation:

Let the side of the square be x. Using Pythagoras theorem for square,

[tex]x^2+x^2=(12\sqrt2)^2\\\\2x^2=288\\\\x=12\ cm[/tex]

The area of the square is given by :

A = side²

Put values in the formula.

A = 12²

A = 144 cm²

So, the area of the square is equal 144 cm².

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