Question

Which combination of three side lengths will NOT form a triangle?

15 cm, 8 cm, 6 cm

9 mm, 6 mm, 5 mm

12 in, 9 in, 6 in

4 ft., 5 ft., 3 ft.

Answer 1

The combination 9 mm, 6mm, 5mm will not form a triangle.

9 +6 = 15 > 5

6+5= 11 < 9

9+5 =14 > 6

Step-by-step explanation :

because the side length of triangle does not obey triangle inequality theorem.

The triangle inequality theorem:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.