Nichanna1227 Nichanna1227
  • 07-07-2020
  • Mathematics
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If the length of one leg of a right triangle is 8 and the hypotenuse is 113−−−√, what is the length of the other leg?

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sqdancefan
sqdancefan sqdancefan
  • 07-07-2020

Answer:

  7

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse. If x represents the unknown leg, this means ...

  x² +8² = (√113)²

  x² = 113 -64 = 49 . . . . subtract 8²

  x = √49 = 7 . . . . . . . . take the square root

The length of the other leg is 7.

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