Question

For each set of three lengths, determine if they can be the side lengths of a triangle.

Answer 1

• Yes, No, Yes, No

Explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

• 4 + 8 = 12 > 9, so Yes

2) 7, 25, 7

• 7 + 7 = 14 < 25, so No

3) 8.8, 24, 15.8

• 8.8 + 15.8 = 24.6 > 24, so Yes

4) 5, 9, 3

• 3 + 5 = 8 < 9, so No