Two sides of a triangle are 9 cm and 12 cm long. what is the range of possible lengths for the third side?
select one:
a. 2 cm < x < 24 cm
b. 2 cm < x < 21 cm
c. 2 cm < x < 18 cm
d. 3 cm < x < 21 cm
e. 3 cm < x < 18 cm
f. 6 cm < x < 24 cm
g. 6 cm < x < 21 cm

Step-by-step explanation:

According to geometry, the third side cannot be grater than the sum of two given sides, and cannot be less than the difference of those sides. So, we have:

9+12=21cm

12-9=3 cm

So, the third side has to be less than 21cm and more than 3 cm.

Therefore, the answer is d.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)