Neil05Lazu Neil05Lazu
  • 25-10-2020
  • Mathematics
contestada

The length of a side of a square is 25. find the length of the diagonal of the square

Respuesta :

ZJSG09112007
ZJSG09112007 ZJSG09112007
  • 25-10-2020

Answer:

35.35 cm

Step-by-step explanation:

[tex]Side = 25 cm\\\\Diagonal = ?\\[/tex]

Look at the image ; notice we have a right angle triangle ?

So , we can derive  :

Hypotenuse = ?

Opposite = 25

Adjacent = 25

[tex]Pythagoras \:Theorem ;\\Hypotenuse^2 =Opposite^2+Adjacent^2 \\\\x^2 = 25^2 +25^2\\x^2 = 625+625\\\\x = \sqrt{1250}\\ \\\\x = diagonal = 25\sqrt{2} \\= 35.35[/tex]

Ver imagen ZJSG09112007
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