Which set of numbers does not create a triangle?

115 cm, 65 cm, 1.5 m

5 m, 9 m, 1500 cm

12.5 ft, 3 yd, 19.75 ft

6 yd, 33 ft, 15 yd

Question

Which set of numbers does not create a triangle?

 115 cm, 65 cm, 1.5 m

 5 m, 9 m, 1500 cm

 12.5 ft, 3 yd, 19.75 ft

 6 yd, 33 ft, 15 yd

mathstudent55 · Answer

The sum of the lengths of any two sides must be greater than the third length.

nurali · Answer

i think  5 m, 9 m, 1500 cm.

anonymous · Answer

5 m, 9 m, 1500 cm.... because summing 5m and 1500 cm is still less than 9m which violates the fact about triangles that..

the sum of two sides of any freaking triangle must be greater than the third one..

mathstudent55 · Answer

Let's look at choice A as an example:
 115 cm, 65 cm, 1.5 m
115 cm, 65 cm, 150 cm
115 + 65 > 150
65 + 150 > 115
115 +150 > 65
All are true, so choice A creates a triangle.

mathstudent55 · Answer

Let's look at choice B:
5 m, 9 m, 1500 cm
5 m, 9 m, 15 m
5 + 9 < 15 Here's the problem