Question

Which of the following sets of numbers could be the lengths of the sides of a triangle?

a. 2 in., 4 in., 6 in.
b. 2 in., 4 in., 5 in.
c. 2 in., 6 in., 12 in.
d. 2 in., 8 in., 14 in.

Answer 1

ok
longest side measure must be less than the sum of the other 2 sides
basically
longestside<otherside1+otherside2

a.
longest is 6
6<4+2
6<6
false, cannot

b.
longest is 5
5<4+2
5<6
true, can be a triangle

c. longest is 12
12<6+2
12<8
false, cannot

d. longest is 14
14<8+2
14<10
false, cannot


B is only possible