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shelbymitchell6 shelbymitchell6
  • 25-07-2016
  • Mathematics
Answered

If one leg of a right triangle has length 21 and the hypotenuse has length 53, what is the length of the other leg?



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Verified Answer :

llianee llianee
  • 25-07-2016

Use the Pythagorean theorem.

a^2 + b^2 = c^2

So you already know one of the legs (we'll call it 'a') is 21. And the hypotenuse (this is 'c') is 53. Substitute these values into the theorem.

21^2 + b^2 = 53^2

441 + b^2 = 2,809

b^2 = 2,368

b = the square root of 2,368. This simplifies to 8 * the square root of 37. This is approximately 48.66.

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