carmonarosi carmonarosi
  • 21-09-2018
  • Mathematics
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The perimeter of a square is 56cm. What is the approximate length of its diagonal?

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bunnymarshmarloykw47
bunnymarshmarloykw47 bunnymarshmarloykw47
  • 21-09-2018

To find the answer, we can use the Pythagoras theorem, where:

[tex]\sqrt{a^{2}+ b^{2} } =c^{2}[/tex]

Where a and b is the side length and c is the diagonal.

In this case:

[tex]\sqrt{56^{2} +56^{2} }

\\ =\sqrt{6272} \\ =79.19596... \\ =79.2(correct to 3 sig. fig.)[/tex]

Therefore, the answer is 79.2cm

Hope it helps!

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