Question 1189572
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            Although it is not declared in the post,  it is clear from the context ,  that the right-angled triangle

             is a part of the rectangle,  which is cut by one of the two diagonals.



<pre>
The sum of lengths of two adjacent sides of the rectangle is 68/2 = 34 cm.


It is nothing else as the sum of two legs of the triangle.


THEREFORE, the hypotenuse (which is the diagonal of the rectangle) is


    60 - 34 = 26 cm.    <U>ANSWER</U>
</pre>

Solved.