Which of the following sets of dimensions is NOT a description of a right triangle?

To determine whether a set of dimensions describes a right triangle, one can apply the Pythagorean theorem. This theorem states that for a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this context, let's look at the dimensions given.

The set of dimensions that does not describe a right triangle is 24, 32, and 48. When we calculate using the Pythagorean theorem:

1. The longest side, which would be 48 in this set, must satisfy the equation: ( 48^2 ) compared to ( 24^2 + 32^2 ).
2. Calculating these:
   • ( 48^2 = 2304 )
   • ( 24^2 = 576 )
   • ( 32^2 = 1024 )
   • Adding these: ( 576 + 1024 = 1600 )

Since ( 2304 ) (the square of the hypotenuse) does not equal ( 1600 ) (the sum of the squares of the other two sides), this set of dimensions