Question 1195770
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The median CF is the hypotenuse of the right triangle ACF; therefore

    |CF| = {{{sqrt(8^2 + (15/2)^2))}}} = {{{sqrt(8^2 + 7.5^2)}}} = {{{sqrt(64 + 56.25)}}} = {{{sqrt(120.25)}}}.


About the medians of any triangle, the widely known fact is that they intersect in one common point and
this intersection point divides each median in proportion 2:1, counting from the vertex of the triangle.


THEREFORE,  |CG| = {{{(2/3)*sqrt(120.25)}}} = 7.311, rounded with 3 decimal places.    <U>ANSWER</U>
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Solved.