For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

  14.42

Step-by-step explanation:

The Pythagorean theorem tells you the sum of squares of side length is the square of the length of the hypotenuse:

  9² +x² = 17²

  x² = 289 -81 = 208

  x = √208 ≈ 14.4222

Rounded to hundredths, the side length x is ...

  x ≈ 14.42

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