The perimeter of a square is 20 cm. How do you find the length of a diagonal?

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The perimeter of a square is 20 cm. How do you find the length of a diagonal?

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Answer 1 · 2015-10-15T17:50:48

Let #a# be the side of the square .Its perimeter equals with #4a# hence #4a=20=>a=5cm# .Now the diagonal #d# is the hypotenese of the right triangle with sides those of the square so

#d^2=a^2+a^2=>d=sqrt2*a=>d=5*sqrt2#

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The perimeter of a square is 20 cm. How do you find the length of a diagonal?

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