What are the Triangle Inequality Theorems (1 & 2)?

triangle inequality theorem State that:

Step-by-step explanation:

the sum of any two sides of a triangle must be greater than the measure of the third side

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

irrational, cannot