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  • 15-05-2020
  • Mathematics
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Find the length of a diagonal of a square with side 16 cm

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Mar92781 Mar92781
  • 15-05-2020

Answer:

The diagonal of a square with side of 16 cm is, 22.63

Step-by-step explanation:

A square has all equal sides, so all 4 sides are 16.

A triangle's side's can be found using this formula: a^2+b^2=c^2

(the Pythagorean theorem)

If you cut a square in half a triangle is formed (with a diagonal across the square, which is what we are searching for)

16^2+16^2=c^2

256+256=c^2

512=c^2

Square root both sides

c= 22.63

Hope this helps! Please mark brainliest :)

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