Which of the following are not the lengths of the sides of a triangle? (1 point) 2,3,4 2,3,2 2,3,3 2,3,6

1 answer

To determine if the given lengths can form a triangle, we need to check if the sum of the two smaller sides is greater than the length of the largest side for each set of lengths.

Checking each set of lengths:

2,3,4: The sum of the two smaller sides is 2+3=5, which is greater than the length of the largest side, 4. Therefore, these lengths can form a triangle.

2,3,2: The sum of the two smaller sides is 2+2=4, which is equal to the length of the largest side, 3. Therefore, these lengths cannot form a triangle.

2,3,3: The sum of the two smaller sides is 2+3=5, which is greater than the length of the largest side, 3. Therefore, these lengths can form a triangle.

2,3,6: The sum of the two smaller sides is 2+3=5, which is less than the length of the largest side, 6. Therefore, these lengths cannot form a triangle.

So, the set of lengths that cannot form a triangle is 2,3,2.