The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.
Step-by-step explanation:
The measurements are,
          7cm, 11cm, 54cm, 60cm, 61cm, 65cm
Step:1
         To check the right angle triangle, Pythagorean theorem can be used.
         For a Pythagorean theorem,
                   ..........................(1)
        The side values are lower than the hypotenuse,
                             ...................................(2)
        Where,
             a,b - side values
               c - Hypotenuse
        For right angle triangle,  c > a, b
        Alternative : 1
        Take, a = 7cm, b = 11cm
        From eqn (2),
                          = = 13.04
        The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.
        Alternative : 2
        Take, a = 7cm, b = 54cm
        From eqn (2),
                          = = 54.45
        The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.
        Alternative : 3
        Take, a = 7cm, b = 60cm
        From eqn (2),
                          = = 60.406
        The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.
        Alternative : 4
        Take, a = 7cm, b = 61cm
        From eqn (2),
                          = = 61.40
        The above value is not equal to the values of (65cm ), So its not an sides of right triangle.
         Alternative : 5
        Take, a = 11cm, b = 54cm
        From eqn (2),
                          = = 55.1089
        The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.   Â
         Alternative : 6
        Take, a = 11cm, b = 60cm
        From eqn (2),
                         = = 61
        The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.
Step:2
       Check for solution,
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Result:
       The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.         Â