Respuesta :

Answer:

= 9.6

Step-by-step explanation:

Considering the right-angled triangle;

The radius of the circle is 16, which acts as the hypotenuse of the right-angled-triangle,

One of the shorter side is X and the other one is half of 25.6 , since a perpendicular bisector of a chord passes through the center of a circle.

Thus;

x² = 16 ² - (25.6/2)²

    = 16² - 12.8²

  x²= 92.16

 x = sqrt 92.16

   = 9.6

The answer is 9.6

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