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To find the length of the third side of the triangle formed inside the circle, we can use the Pythagorean theorem.
The radius of the circle is the hypotenuse of the triangle, so we can write:
\(8.4^2 = 5.6^2 + x^2\)
\(70.56 = 31.36 + x^2\)
Subtracting 31.36 from both sides gives:
\(x^2 = 39.2\)
Taking the square root of both sides gives:
\(x = \sqrt{39.2} \approx 6.26\)
Therefore, the length of the third side of the triangle is approximately 6.26.
None of the answer choices match this value exactly, so the correct answer is not provided.