Which of the following sets of numbers could not represent the three sides of a r triangle? Answer 24,32,40 12,16,20 30,40,51 20,21,29

To determine which set of numbers could not represent the sides of a triangle, we need to apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.Let's check each set of numbers:1. - 24 + 32 > 40 (56 > 40, true) - 24 + 40 > 32 (64 > 32, true) - 32 + 40 > 24 (72 > 24, true) - This set satisfies the Triangle Inequality Theorem.2. - 12 + 16 > 20 (28 > 20, true) - 12 + 20 > 16 (32 > 16, true) - 16 + 20 > 12 (36 > 12, true) - This set satisfies the Triangle Inequality Theorem.3. - 30 + 40 > 51 (70 > 51, true) - 30 + 51 > 40 (81 > 40, true) - 40 + 51 > 30 (91 > 30, true) - This set satisfies the Triangle Inequality Theorem.4. - 20 + 21 > 29 (41 > 29, true) - 20 + 29 > 21 (49 > 21, true) - 21 + 29 > 20 (50 > 20, true) - This set satisfies the Triangle Inequality Theorem.Therefore, all the given sets of numbers could represent the sides of a triangle.