Question

Which set of 3 numbers could be the side lengths of a triangle.

A. 4,7,11.
B. 4,7,7.
C. 4,10,3
D. 4,10,6

Answer 1

To determine which set of 3 numbers could be the side lengths of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side. The set of 3 numbers that could be the side lengths of a triangle is C: 4, 10, 3.

Step-by-step explanation:

To determine which set of 3 numbers could be the side lengths of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.

Let's check each set:

1. Set A: 4, 7, 11 - 4 + 7 = 11, so it's not a valid triangle.
2. Set B: 4, 7, 7 - 4 + 7 = 11, so it's not a valid triangle.
3. Set C: 4, 10, 3 - 4 + 3 = 7, which is greater than 10, so it's a valid triangle.
4. Set D: 4, 10, 6 - 4 + 6 = 10, which is equal to 10, so it's not a valid triangle.

So, the set of 3 numbers that could be the side lengths of a triangle is C: 4, 10, 3.