Question

Determine if each set of given side lengths can be used to construct a triangle. Select all that apply.


a. 1 mm, 2 mm, 3 mm


b. 5 cm, 8 cm, 12 cm


c. 12 in, 12 in, 12 in


d. 3 ft, 6 ft, 10 ft


e. 6 m, 10 m, 15 m

Answer 1

for any triangle with sides a,b,c where c is the longest side, you must have
c < a+b
So (e) works, because 15 < 6+10
Now try the others.