Question

Which set of side lengths will form a triangle? All measurements are in feet.(1 point)
Responses

8, 6, 2
8, 6, 2

3, 3, 6
3, 3, 6

5, 2, 4
5, 2, 4

4, 1, 6

Answer 1

A set of three lengths forms a triangle only if the sum of any two lengths is greater than the third.

Check each:
- 8, 6, 2: 6 + 2 = 8, not greater → no
- 3, 3, 6: 3 + 3 = 6, not greater → no
- 5, 2, 4: 5 < 2 + 4 (5 < 6), 4 < 5 + 2, 2 < 5 + 4 → yes
- 4, 1, 6: 4 + 1 = 5 < 6 → no

So only 5, 2, 4 will form a triangle.