dimondflower89
dimondflower89 dimondflower89
  • 10-04-2016
  • Mathematics
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The length of the hypotenuse of a right triangle is 20 feet and the length of one leg is 16 feet find the length of the other leg

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charlostheunicorn charlostheunicorn
  • 10-04-2016
This is a problem for which you will have to use the Pythagorean theorem.

The Pythagorean theorem states that:

x^2 + y^2 = h^2

where x and y are the legs, and h is the hypotenuse.

Let h = 20 ft, and x = 16

16^2 + y^2 = 20^2

Now, solve for y.

256 + y^2 = 400.
256 - 256 + y^2 = 400 - 256
y^2 = 144
y = 12

The length of the other leg is 12 feet.
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