jraym8764 jraym8764
  • 17-03-2020
  • Mathematics
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A square has a diagonal of length 12. What is the length of one of the sides of the square

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jscob1234
jscob1234 jscob1234
  • 17-03-2020

Answer: sqrt(72) or 8.49 rounded.

Step-by-step explanation: This can be solved by realizing that diagonal makes an isosceles triangle with the sides so we use the pythagorean theorem to solve. X^2 + X^2 = 144 or rewritten

2X^2 = 144 divide by 2

X^2 = 72 square root

X = sqrt(72) = 8.49 (rounded to 2 decimals)

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