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  • 20-11-2020
  • Mathematics
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  • 20-11-2020

Answer: x=12

Step-by-step explanation:

The Pythagorean theorem is a²+b²=c². A and b are the legs, and c is the hypotenuse. Since we are only given the length of a leg and hypotenuse, we fill in what we have and solve for a.

a²+16²=20²          [exponent]

a²+256=400        [subtract both sides by 256]

a²=144                  [square root both sides]

a=12

Now, we know the missing leg, x=12.

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