Question 1175212
.


            The solutions from both ladies are incomplete and therefore  INCORRECT.


            The correct solution is below.



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With the given data, the solution can be obtained for right triangle ONLY.

There are two possibilities.



(1)  The given sides are two legs.


     Then the third side, the hypotenuse, is  {{{sqrt(6^2 + 8^2)}}} = {{{sqrt(100)}}} = 10 cm.



(2)  The longer side is the hypotenuse; the other side is one of the two legs.


     Then the other leg is  {{{sqrt(8^2 - 6^2)}}} = {{{sqrt(28)}}} = {{{2*sqrt(7)}}} cm = 5.292 cm  (rounded).
</pre>

Solved (correctly).