Which of the following sets of measurements will not make a triangle 4 cm 6 cm 9 cm 7 cm 7 cm 10 cm 5 cm 12 cm 13 cm 8 cm 3 cm 4 cm

1 answer

The set of measurements that will not make a triangle is 4 cm, 6 cm, 9 cm.

By the Triangle Inequality Theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 4 cm + 6 cm < 9 cm, so this set of measurements will not form a triangle.