Which sides of lengths below could form a triangle?

Answer 1

To see if three lengths can be made into a triangle:

1. Add together the two shorter lengths;
2. if this sum is greater than the remaining length, then a triangle can be made;
3. otherwise the sum is less than or equal to the remaining length and a triangle cannot be made.

examples:

• 3, 4, 5

3 + 4 = 7 > 5 ⇒ is a triangle

• 5, 5, 8

5 + 5 = 10 > 8 ⇒ is a triangle

• 12, 30, 18

12 + 18 = 30 ≤ 30 ⇒ is not a triangle

• 12, 35, 18

12 + 18 = 30 ≤ 35 ⇒ is not a triangle